Loop-and-allied QG bibliography

  • Thread starter Thread starter marcus
  • Start date Start date
  • Tags Tags
    Bibliography
  • #851


http://arxiv.org/abs/0904.1738
Symmetric space Cartan connections and gravity in three and four dimensions
Derek K. Wise
18 pages; Article prepared for special journal issue dedicated to Elie Cartan
(Submitted on 10 Apr 2009)
"Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The relevant theories in 3 dimensions include Einstein gravity in Chern-Simons form, as well as a new formulation of topologically massive gravity, with arbitrary cosmological constant, as a single constrained Chern-Simons action. In 4 dimensions the main model of interest is MacDowell-Mansouri gravity, generalized to include the Immirzi parameter in a natural way. I formulate these theories in Cartan geometric language, emphasizing also the role played by the symmetric structure of the model. I also explain how, from the perspective of these Cartan-geometric formulations, both the topological mass in 3d and the Immirzi parameter in 4d are the result of non-simplicity of the Lorentz Lie algebra so(3,1) and its relatives. Finally, I suggest that the language of Cartan geometry provides a guiding principle for elegantly reformulating any 'gauge theory of geometry'."

http://arxiv.org/abs/0904.1595
Solutions to Horava Gravity
H. Lu, Jianwei Mei, C.N. Pope
8 pages
(Submitted on 10 Apr 2009)
"Recently Horava proposed a non-relativistic renormalisable theory of gravitation, which reduces to Einstein's general relativity at large distances, and that may provide a candidate for a UV completion of Einstein's theory. In this paper, we derive the full set of equations of motion, and then we obtain spherically symmetric solutions and discuss their properties. We also obtain the Friedman-Lemaitre-Robertson-Walker cosmological metric."

http://arxiv.org/abs/0904.1657
Topological Interpretation of Barbero-Immirzi Parameter through a Rescaling of Wavefunctional
Sandipan Sengupta
(Submitted on 10 Apr 2009)
"The topological character of Barbero-Immirzi parameter ($\eta$) can emerge in a quantum description through a rescaling of the wavefunctional. This makes it possible to arrive at the canonical formulation for the action made up of the Hilbert-Palatini term and the Nieh-Yan invariant starting from the Hilbert-Palatini canonical theory. Here we set up a general rescaling procedure for gravity with or without matter. This needs a systematic treatment of the second class constraints (of Hilbert-Palatini theory) which are not solved before quantization. This allows a direct topological interpretation of eta in a quantum framework. This analysis can be carried out without choosing time gauge."
 
Last edited:
Physics news on Phys.org
  • #852


Well, in the spirit of spin networks calculations, I guess this article is relevant to this thread... :

http://arxiv.org/abs/0904.1734

On the volume conjecture for classical spin networks
Authors: Abdelmalek Abdesselam
(Submitted on 10 Apr 2009)

Abstract: We prove an upper bound for the evaluation of all classical SU(2) spin networks conjectured by Garoufalidis and van der Veen. This implies one half of the analogue of the volume conjecture which they proposed for classical spin networks. We are also able to obtain the other half, namely, an exact determination of the spectral radius, for the special class of generalized drum graphs. Our proof uses a version of Feynman diagram calculus which we developed as a tool for the interpretation of the symbolic method of classical invariant theory, in a manner which is rigorous yet true to the spirit of the classical literature.
 
  • #853


http://arxiv.org/abs/0904.1965
hbar as parameter of Minkowski metric in effective theory
G.E. Volovik
16 pages
(Submitted on 13 Apr 2009)
"With the proper choice of the dimensionality of the metric components, the action for all fields becomes dimensionless. Such quantities as the vacuum speed of light c, the Planck constant hbar, the electric charge e, the particle mass m, the Newton constant G never enter equations written in the covariant form, i.e., via the metric g^{\mu\nu}. The speed of light c and the Planck constant are parameters of a particular two-parametric family of solutions of general relativity equations describing the flat isotropic Minkowski vacuum in effective theory emerging at low energy: g^{\mu\nu}=diag(-\hbar^2, (\hbar c)^2, (\hbar c)^2, (\hbar c)^2). They parametrize the equilibrium quantum vacuum state. The physical quantities which enter the covariant equations are dimensionless quantities and dimensionful quantities of dimension of rest energy M or its power. Dimensionless quantities include the running coupling 'constants' \alpha_i; topological and geometric quantum numbers (angular moméntum quantum number j, weak charge, electric charge q, hypercharge, baryonic and leptonic charges, number of atoms N, etc). Dimensionful parameters include the rest energies of particles Mn (or/and mass matrices); the gravitational coupling K with dimension of M2; cosmological constant with dimension M4; etc. In effective theory, the interval s has the dimension of 1/M; it characterizes the dynamics of particles in the quantum vacuum rather than geometry of space-time. We discuss the effective action, and the measured physical quantities resulting from the action, including parameters which enter the Josepson effect, quantum Hall effect, etc."
 
Last edited:
  • #854


http://arxiv.org/abs/0904.2510
Conformally reduced quantum gravity revisited
P.F. Machado, R. Percacci
(Submitted on 16 Apr 2009)
"Applying functional renormalization group methods, we describe two inequivalent ways of defining the renormalization group of matter-coupled four dimensional gravity, in the approximation where only the conformal factor is dynamical and taking the trace anomaly explicitly into account. We make contact with earlier work and briefly discuss the presence or absence of fixed points, depending on the truncation of the action and other approximations."

Roberto Percacci we know. Recently spent some time as a visitor at Utrecht.
Pedro Machado is one of Renate Loll's PhD students.
There've been several cases of CDT and Asymptotic Safe QG people collaborating recently.
 
  • #855


http://arxiv.org/abs/0904.2835
Matter Bounce in Horava-Lifgarbagez Cosmology
Robert Brandenberger (McGill University and CERN)
6 pages, 1 figure
(Submitted on 18 Apr 2009)
"Horava-Lifgarbagez gravity, a recent proposal for a UV-complete renormalizable gravity theory, may lead to a bouncing cosmology. In this note we argue that Horava-LIfgarbagez cosmology may yield a concrete realization of the matter bounce scenario, and thus give rise to an alternative to inflation for producing a scale-invariant spectrum of cosmological perturbations. In this scenario, quantum vacuum fluctuations exit the Hubble radius in the pre-bounce phase and the spectrum is transformed into a scale-invariant one on super-Hubble scales before the bounce because the long wavelength modes undergo squeezing of their wave-functions for a longer period of time than shorter wavelength modes. The scale-invariance of the spectrum of curvature fluctuations is preserved during and after the bounce. A distinctive prediction of this scenario is the amplitude and shape of the bispectrum."
 
  • #856


http://arxiv.org/abs/0904.3184

Search for Lorentz Invariance Violation effects with PKS 2155-304 flaring period in 2006 by H.E.S.S
Authors: J. Bolmont, R. Buehler, A. Jacholkowska, S. J. Wagner, for the H.E.S.S. Collaboration
(Submitted on 21 Apr 2009)

Abstract: Highly energetic, variable and distant sources such as Active Galactic Nuclei provide a good opportunity to evaluate effects due to the emission and the propagation of high energy photons. In this note, a study of possible energy-dependent time-lags with PKS 2155-304 light curve as measured by H.E.S.S. in July 2006 is presented. These time-lags could either come from the emission processes or also sign a Lorentz Symmetry breaking as predicted in some Quantum Gravity models. A Cross-Correlation function and a Wavelet Transform were used to measure the time-lags. The 95% Confidence Limit on the Quantum Gravity energy scale based on the statistical and systematic error evaluation was found to be 7x10^17 GeV considering a linear correction in the standard photon dispersion relations and assuming that emission-induced time-lags are negligible. For now, this limit is the best ever obtained with a blazar.
 
  • #857


http://arxiv.org/abs/0904.3412
Horava-Lifgarbagez gravity, absolute time, and objective particles in curved space
H. Nikolic
5 pages
(Submitted on 22 Apr 2009)
"Recently, Horava formulated a renormalizable theory of quantum gravity that reduces to general relativity at large distances but violates Lorentz invariance at small distances. The absolute time involved in this theory allows to define an objective notion of particles associated with quantization of fields in classical gravitational backgrounds. The Unruh effect and other observer-dependent notions of particles in curved space are interpreted as effects caused by interaction between the objective vacuum and the measuring apparatus made up of objective particles."
 
  • #858


http://arxiv.org/abs/0904.3730
Second-order amplitudes in loop quantum gravity
Davide Mamone, Carlo Rovelli
22 pages, 18 figures
(Submitted on 23 Apr 2009)
"We explore some second-order amplitudes in loop quantum gravity. In particular, we compute some second-order contributions to diagonal components of the graviton propagator in the large distance limit, using the old version of the Barrett-Crane vertex amplitude. We illustrate the geometry associated to these terms. We find some peculiar phenomena in the large distance behavior of these amplitudes, related with the geometry of the generalized triangulations dual to the Feynman graphs of the corresponding group field theory. In particular, we point out a possible further difficulty with the old Barrett-Crane vertex: it appears to lead to flatness instead of Ricci-flatness, at least in some situations. The observation raises the question whether this difficulty remains with the new version of the vertex."
 
  • #859


These two are interesting from the emergent prospective. a few months ago Fra brought under atention Olaf Dreyer

http://arxiv.org/abs/0904.3520
Time is not the problem
Authors: Olaf Dreyer
(Submitted on 22 Apr 2009)
]
Abstract: Attempts to quantize general relativity encounter an odd problem. The Hamiltonian that normally generates time evolution vanishes in the case of general relativity as a result of diffeomorphism invariance. The theory seems to be saying that time does not exist. The most obvious feature of our world, namely that time seems to progress and that the world changes accordingly becomes a problem in this presumably fundamental theory. This is called the problem of time. In this essay we argue that this problem is the result of an unphysical idealization. We are caught in this "problem of time" trap because we took a wrong turn in the early days of relativity by permanently including a split of geometry and
matter into our physical theories. We show that another possibility exists that circumvents the problem of time and also sheds new light on other problems like the cosmological constant problem and the horizon problem in early universe cosmology. http://arxiv.org/abs/0904.3276
Gluon condensate, modified gravity, and the accelerating Universe

Authors: F.R. Klinkhamer
(Submitted on 21 Apr 2009)

Abstract: The dynamics of a gravitating gluon condensate q is studied in the context of a spatially flat Friedmann-Robertson-Walker universe. With a quadratic approximation of the gluon-condensate vacuum energy density \rho_{V}(q) near the equilibrium value q_{0} and a small modified-gravity coupling constant \eta of a nonanalytic \tilde{f}(R,q) term in the action, an "accelerating universe" is obtained which more or less resembles the present Universe. The unknown component 'X' of this model universe (here, due to the combined effects of vacuum energy density and modified gravity) has an effective equation-of-state parameter \bar{w}_{X} which is found to evolve towards the value -1 from above. Klinkhamer is one of the Volovik school they published some papers together.

A few days ago i went to the bookshop and found a very fascinating book by Grigori Volovik about condensed matter physics called "Universe in a helium droplet". I scammed the book and it looked really fascinating. Although a little expensive though !...
 
  • #860


http://arxiv.org/abs/0904.3627
Condensed matter lessons about the origin of time
Authors: Gil Jannes
(Submitted on 23 Apr 2009)

Abstract: It is widely hoped that quantum gravity will shed a profound light on the origin of time in physics. The currently dominant approaches to a candidate quantum theory of gravity have quite naturally evolved from general relativity, on the one hand, and from particle physics, on the other hand. In this essay, I will argue that a third important branch of 20th century `fundamental' physics, namely condensed-matter physics, also offers an interesting perspective on quantum gravity, and thereby on the problem of time. The bottomline might sound disappointing to those who have become used to claims that quantum gravity or a `Theory of Everything' will solve most of the conceptual problems of fundamental physics: To understand the origin of time, experimental input is needed at much higher energies than what is available today. Moreover, it is far from obvious that we will ever discover the true origin of physical time, even if we become able to directly probe physics at the Planck scale. But we might learn plenty of interesting lessons about time and the structure of our universe in the process.
 
  • #861


http://arxiv.org/abs/0904.3914
Spherically symmetric black holes in minimally modified self-dual gravity
Akihiro Ishibashi, Simone Speziale
42 pages, many colour figures
(Submitted on 24 Apr 2009)

"We discuss spherically symmetric black holes in the modified self-dual theory of gravity recently studied by Krasnov, obtained adding a Weyl-curvature dependent `cosmological term' to the Plebanski lagrangian for general relativity. This type of modified gravity admits two different types of singularities: one is a true singularity for the theory where the fundamental fields of the theory, as well as the (auxiliary) spacetime metric, become singular, and the other one is a milder "non-metric singularity" where the metric description of the spacetime breaks down but the fundamental fields themselves are regular. We first generalise this modified self-dual gravity to include Maxwell's field and then study basic features of spherically symmetric, charged black holes, with particular focus on whether these two types of singularities are hidden or naked. We restrict our attention to minimal forms of the modification, and find that the theory exhibits `screening' effects of the electric charge (or `anti-screening', depending upon the sign of the modification term), in the sense that it leads to the possibility of charging the black hole more (or less) than it would be possible in general relativity without exposing a naked singularity. We also find that for any (even arbitrarily large) value of charge, true singularities of the theory appear to be either achronal (non-timelike) covered by the hypersurface of a harmless non-metric singularity, or simply hidden inside at least one Killing horizon."
 
  • #862


http://arxiv.org/abs/0904.4036
Star product and interacting fields on kappa-Minkowski space
J. Kowalski-Glikman, A. Walkus
7 pages
(Submitted on 26 Apr 2009)
"In this note we extend the methods developed by Freidel et al. [arXiv:hep-th/0612170] to derive the form of phi4 interaction term in the case of scalar field theory on kappa-Minkowski space, defined in terms of star product. We present explicit expressions for the kappa-Minkowski star product. Having obtained the the interaction term we use the resulting deformed conservation rules to investigate if they lead to any threshold anomaly, and we find that in the leading order they do not, as expected."

http://arxiv.org/abs/0904.4454
Large classical universes emerging from quantum cosmology
Nelson Pinto-Neto
8 pages, 1 figure
(Submitted on 28 Apr 2009)
"It is generally believed that one cannot obtain a large Universe from quantum cosmological models without an inflationary phase in the classical expanding era because the typical size of the Universe after leaving the quantum regime should be around the Planck length, and the standard decelerated classical expansion after that is not sufficient to enlarge the Universe in the time available. For instance, in many quantum minisuperspace bouncing models studied in the literature, solutions where the Universe leave the quantum regime in the expanding phase with appropriate size have negligible probability amplitude with respect to solutions leaving this regime around the Planck length. In this paper, I present a general class of moving gaussian solutions of the Wheeler-DeWitt equation where the velocity of the wave in minisuperspace along the scale factor axis, which is the new large parameter introduced in order to circumvent the abovementioned problem, induces a large acceleration around the quantum bounce, forcing the Universe to leave the quantum regime sufficiently big to increase afterwards to the present size, without needing any classical inflationary phase in between, and with reasonable relative probability amplitudes with respect to models leaving the quantum regime around the Planck scale. Furthermore, linear perturbations around this background model are free of any transplanckian problem."http://arxiv.org/abs/0904.4435
Matter in Loop Quantum Gravity without time gauge: a non-minimally coupled scalar field
F. Cianfrani, G. Montani
4 pages
(Submitted on 28 Apr 2009)
"We analyze the phase space of gravity non-minimally coupled to a scalar field in a generic local Lorentz frame. We reduce the set of constraints to a first-class one by fixing a specific hypersurfaces in the phase space. The main issue of our analysis is to extend the features of the vacuum case to the presence of scalar matter by recovering the emergence of an SU(2) gauge structure and the non-dynamical role of boost variables. Within this scheme, the super-momentum and the super-Hamiltonian are those ones associated with a scalar field minimally coupled to the metric in the Einstein frame. Hence, the kinematical Hilbert space is defined as in canonical Loop Quantum Gravity with a scalar field, but the differences in the area spectrum are outlined to be the same as in the time-gauge approach."

http://arxiv.org/abs/0904.4379
Alternative quantization of the Hamiltonian in loop quantum cosmology II: Including the Lorentz term
Jinsong Yang, You Ding, Yongge Ma
8 pages, 2 figures
(Submitted on 28 Apr 2009)
"Since there are quantization ambiguities in constructing the Hamiltonian constraint operator in isotropic loop quantum cosmology, it is crucial to check whether the key features of loop quantum cosmology are robust against the ambiguities. In this paper, we quantize the Lorentz term of the gravitational Hamiltonian constraint in the spatially flat FRW model by two approaches different from that of the Euclidean term. One of the approaches is very similar to the treatment of the Lorentz part of Hamiltonian in loop quantum gravity and hence inherits more features from the full theory. Two symmetric Hamiltonian constraint operators are constructed respectively in the improved scheme. Both of them are shown to have the correct classical limit by the semiclassical analysis. In the loop quantum cosmological model with a massless scalar field, the effective Hamiltonians and Friedmann equations are derived. It turns out that the classical big bang is again replaced by a quantum bounce in both cases. Moreover, there are still great possibilities for the expanding universe to recollapse due to the quantum gravity effect."

Yongge Ma leads the LQG section at Beijing Normal. His institution will be hosting this year's Loops 2009 conference.
 
Last edited:
  • #863


Wait a minute, why didn't you post todays new a articles in a new post?
 
  • #864


Doubling up saves space and memory: get two days preprints in one post.

http://arxiv.org/abs/0904.4841
The quantization of unimodular gravity and the cosmological constant problem
Lee Smolin
22 pages
(Submitted on 30 Apr 2009)
"A quantization of unimodular gravity is described, which results in a quantum effective action which is also unimodular, ie a function of a metric with fixed determinant. A consequence is that contributions to the energy momentum tensor of the form of the metric times a spacetime constant, whether classical or quantum, are not sources of curvature in the equations of motion derived from the quantum effective action. This solves the first cosmological constant problem, which is suppressing the enormous contributions to the cosmological constant coming from quantum corrections. We discuss several forms of uniodular gravity and put two of them, including one proposed by Henneaux and Teitelboim, in constrained Hamiltonian form. The path integral is constructed from the latter. Furthermore, the second cosmological constant problem, which is why the measured value is so small, is also addressed by this theory. We argue that a mechanism first proposed by Ng and van Dam for suppressing the cosmological constant by quantum effects obtains at the semiclassical level."

http://arxiv.org/abs/0904.4779
Questioning Newton's second law: What is the structure of equations of motion?
Claus Lämmerzahl, Patricia Rademaker
13 pages
(Submitted on 30 Apr 2009)
"Interactions are explored through the observation of the dynamics of particles. On the classical level the basic underlying assumption in that scheme is that Newton's second law holds. Relaxing the validity of this axiom by, e.g., allowing for higher order time derivatives in the equations of motion would allow for a more general structure of interactions. We derive the structure of interactions by means of a gauge principle and discuss the physics emerging from equations of motion of higher order. One main result is higher order derivatives induce a zitterbewegung. As a consequence the main motion resulting from the second order equation of motion is rather robust against modifications. The gauge principle leads to a gauge field with the property of a space metric. We confront this general scheme with experimental data."

http://arxiv.org/abs/0904.4865
Line element in quantum gravity: the examples of DSR and noncommutative geometry
Pierre Martinetti
Proceedings of the Second Workshop on Quantum Gravity and Noncommutative Geometry, Universidade Lusofona, Lisbon 22-24 September 2008
(Submitted on 30 Apr 2009)
"We question the notion of line element in some quantum spaces that are expected to play a role in quantum gravity, namely non-commutative deformations of Minkowski spaces. We recall how the implementation of the Leibniz rule forbids to see some of the infinitesimal deformed Poincare transformations as good candidates for Noether symmetries. Then we recall the more fundamental view on the line element proposed in noncommutative geometry, and re-interprete at this light some previous results on Connes' distance formula."
 
Last edited:
  • #865


http://arxiv.org/abs/0904.4786
Correlated optical and gamma emissions from GRB 081126
Authors: Alain Klotz (OHP, LATT), B. Gendre (LAM), J.L. Atteia (LATT), Michel Boër (OHP), David M. Coward, Alan C. Imerito
(Submitted on 30 Apr 2009)

Abstract: We present an analysis of time-resolved optical emissions observed from the gamma-ray burst GRB 081126 during the prompt phase. The analysis employed time-resolved photometry using optical data obtained by the TAROT telescope, using BAT data from the Swift spacecraft , and time-resolved spectroscopy at high energies from the GBM instrument onboard the Fermi spacecraft . The optical emission of GRB 081126 is found to be compatible with the second gamma emission pulse shifted by a positive time lag of 8.4 $\pm$ 3.9 s. This is the first well-resolved observation of a time lag between optical and gamma emissions during a gamma-ray burst. Our observations could potentially provide new constraints on the fireball model for gamma-ray burst early emissions. Furthermore, observations of time lags between optical and gamma ray photons provides an exciting opportunity to constrain quantum gravity theories. http://arxiv.org/abs/0904.4878
Can we probe the Lorentz factor of gamma-ray bursts from GeV-TeV spectra integrated over internal shocks?
Authors: Junichi Aoi, Kohta Murase, Keitaro Takahashi, Kunihito Ioka, Shigehiro Nagataki
(Submitted on 30 Apr 2009)

Abstract: We revisit the high-energy spectral cutoff originating from the electron-positron pair creation in the prompt phase of gamma-ray bursts (GRBs) with numerical and analytical calculations. We show that the conventional exponential cutoff should be drastically modified to a steepened power-law in practical observations that integrate emissions from different internal shocks. Since the steepening is tiny for observations, this "smearing" effect can generally reduce the previous estimates of the Lorentz factor of the GRB outflows. We apply our formulation to GRB 080916C, recently detected by the LAT detector on the Fermi satellite, and find that the minimum Lorentz factor can be ~600 (or even smaller values), which is below but consistent with the previous result of ~900. Observing the steepening energy (so-called "pair-break energy") is crucial to diagnose the Lorentz factor and/or the emission site in the future observations.http://arxiv.org/abs/0904.4299
Modifying Gravity in the Infra-Red by imposing an "Ultra-Strong" Equivalence Principle
Authors: Federico Piazza (Perimeter Institute)
(Submitted on 28 Apr 2009)

Abstract: The equivalence principle suggests to consider gravity as an infrared phenomenon, whose effects are visible only outside Einstein's free-falling elevator. By curving spacetime, General Relativity leaves the smallest systems free of classical gravitational effects. However, according to the standard semi-classical treatment, indirect effects of gravity can be experienced inside the elevator through the well-known mechanism of quantum particle production. Here we try a different path than the one historically followed: rather than imposing field quantization on top of a curved manifold, we attempt to upgrade the equivalence principle and extend it to the quantum phenomena. Therefore, we consider, and try to realize in a theoretical framework, a stronger version of the equivalence principle, in which all the effects of gravity are definitely banned from the elevator and confined to the infra-red. For this purpose, we introduce infrared modified commutation relations for the global field operators (Fourier modes) that allow to reabsorb the time-dependent quadratic divergence of the vacuum expectation value of the stress-energy tensor. The proposed modification is effective on length scales comparable to the inverse curvature and, therefore, does no add any dimensional parameter to the theory.
 
  • #866


http://arxiv.org/abs/0905.0213

A causal perspective on random geometry
Authors: Stefan Zohren
(Submitted on 2 May 2009)

Abstract: In this thesis we investigate the importance of causality in non-perturbative approaches to quantum gravity. Firstly, causal sets are introduced as a simple kinematical model for causal geometry. It is shown how causal sets could account for the microscopic origin of the Bekenstein entropy bound. Holography and finite entropy emerge naturally from the interplay between causality and discreteness. Going beyond causal set kinematics is problematic however. It is a hard problem to find the right amplitude to attach to each causal set that one needs to define the non-perturbative quantum dynamics of gravity. One approach which is ideally suited to define the non-perturbative gravitational path integral is dynamical triangulation. Without causality this method leads to unappealing features of the quantum geometry though. It is shown how causality is instrumental in regulating this pathological behavior. In two dimensions this approach of causal dynamical triangulations has been analytically solved by transfer matrix methods. In this thesis considerable progress has been made in the development of more powerful techniques for this approach. The formulation through matrix models and a string field theory allow us to study interesting generalizations. Particularly, it has become possible to define the topological expansion. A surprising twist of the new matrix model is that it partially disentangles the large-N and continuum limit. This makes our causal model much closer in spirit to the original idea by 't Hooft than the conventional matrix models of non-critical string theory.
 
  • #867


http://arxiv.org/abs/0905.0113

Consequences of Kaluza-Klein Covariance
Authors: Paul S. Wesson
(Submitted on 1 May 2009)

The group of coordinate transformations for 5D noncompact Kaluza-Klein theory is broader than the 4D group for Einstein's general relativity. Therefore, a 4D quantity can take on different forms depending on the choice for the 5D coordinates. We illustrate this by deriving the physical consequences for several forms of the canonical metric, where the fifth coordinate is altered by a translation, an inversion and a change from spacelike to timelike. These cause, respectively, the 4D cosmological 'constant' to become dependent on the fifth coordinate, the rest mass of a test particle to become measured by its Compton wavelength, and the dynamics to become wave-mechanical with a small mass quantum. These consequendes of 5D covariance -- whether viewed as positive or negative -- help to determine the viability of current attempts to unify gravity with the interactions of particles.


http://arxiv.org/abs/0905.0119

Time as an Illusion
Authors: Paul S. Wesson
(Submitted on 1 May 2009)

We review the idea, due to Einstein, Eddington, Hoyle and Ballard, that time is a subjective label, whose primary purpose is to order events, perhaps in a higher-dimensional universe. In this approach, all moments in time exist simultaneously, but they are ordered to create the illusion of an unfolding experience by some physical mechanism. This, in the language of relativity, may be connected to a hypersurface in a world that extends beyond spacetime. Death in such a scenario may be merely a phase change.


http://arxiv.org/abs/0905.0017

Emergence of spatial structure from causal sets
Authors: David Rideout, Petros Wallden
(Submitted on 30 Apr 2009)

There are numerous indications that a discrete substratum underlies continuum spacetime. Any fundamentally discrete approach to quantum gravity must provide some prescription for how continuum properties emerge from the underlying discreteness. The causal set approach, in which the fundamental relation is based upon causality, finds it easy to reproduce timelike distances, but has a more difficult time with spatial distance, due to the unique combination of Lorentz invariance and discreteness within that approach. We describe a method to deduce spatial distances from a causal set. In addition, we sketch how one might use an important ingredient in deducing spatial distance, the `$n$-link', to deduce whether a given causal set is likely to faithfully embed into a continuum spacetime.
 
  • #868


http://arxiv.org/abs/0905.0997
Beyond the Standard Model: A Noncommutative Approach
Christoph A. Stephan
To be published in the Proceedings of the XLIVth Rencontres de Moriond: Electroweak Interactions and Unified Theories (La Thuile, Italy, 7-14 March 2009)
(Submitted on 7 May 2009)
"During the last two decades Alain Connes developed Noncommutative Geometry (NCG), which allows to unify two of the basic theories of modern physics: General Relativity (GR) and the Standard Model (SM) of Particle Physics as classical field theories. In the noncommutative framework the Higgs boson, which had previously to be put in by hand, and many of the ad hoc features of the standard model appear in a natural way.
The aim of this presentation is to motivate this unification from basic physical principles and to give a flavour of its derivation. One basic prediction of the noncommutative approach to the SM is that the mass of the Higgs Boson should be of the order of 170 GeV if one assumes the Big Desert. This mass range is with reasonable probability excluded by the Tevatron and therefore it is interesting to investigate models beyond the SM that are compatible with NCG. Going beyond the SM is highly non-trivial within the NCG approach but possible extensions have been found and provide for phenomenologically interesting models. We will present in this article a short introduction into the NCG framework and describe one of these extensions of the SM. This model contains new scalar bosons (and fermions) which constitute a second Higgs-like sector mixing with theordinary Higgs sector and thus considerably modifying the mass eigenvalues."
 
  • #869


http://arxiv.org/abs/0905.0695
A Redetermination of the Hubble Constant with the Hubble Space Telescope from a Differential Distance Ladder
Adam G. Riess (JHU, STScI), Lucas Macri (Texas A&M), Stefano Casertano (STScI), Megan Sosey (STScI), Hubert Lampeitl (UPort), Henry C. Ferguson (STScI), Alexei V. Filippenko (UCB), Saurabh W. Jha (Rutgers), Weidong Li (UCB), Ryan Chornock (UCB), Devdeep Sarkar (UCI)
60 pages, 15 figures Accepted for Publication, ApJ. This is the second of two papers reporting results from a program to determine the Hubble constant to 5% precision from a refurbished distance ladder based on extensive use of differential measurements
(Submitted on 5 May 2009)
We report observations of 240 Cepheid variables obtained with the Near Infrared Camera (NICMOS) through the F160W filter on the Hubble Space Telescope (HST). The Cepheids are distributed across six recent hosts of Type Ia supernovae (SNe Ia) and the "maser galaxy" NGC 4258, allowing us to directly calibrate the peak luminosities of the SNe Ia from the precise, geometric distance measurements provided by the masers. New features of our measurement include the use of the same instrument for all Cepheid measurements across the distance ladder and homogeneity of the Cepheid periods and metallicities thus necessitating only a differential measurement of Cepheid fluxes and reducing the largest systematic uncertainties in the determination of the fiducial SN Ia luminosity. The NICMOS measurements reduce differential extinction in the host galaxies by a factor of 5 over past optical data. Combined with an expanded of 240 SNe Ia at z<0.1 which define their magnitude-redshift relation, we find H0=74.2 +/-3.6, a 4.8% uncertainty including both statistical and systematic errors. We show that the factor of 2.2 improvement in the precision of H0 is a significant aid to the determination of the equation-of-state of dark energy, w = P/(rho c2). Combined with the WMAP 5-year measurement of OmegaM h2, we find w= -1.12 +/- 0.12 independent of high-redshift SNe Ia or baryon acoustic oscillations (BAO). This result is also consistent with analyses based on the combination of high-z SNe Ia and BAO. The constraints on w(z) now with high-z SNe Ia and BAO are consistent with a cosmological constant and improved by a factor of 3 from the refinement in H0 alone. We show future improvements in H0 are likely and will further contribute to multi-technique studies of dark energy."
 
Last edited:
  • #870


http://arxiv.org/abs/0905.1665

Fractal Quantum Space-Time
Authors: Leonardo Modesto
(Submitted on 11 May 2009)

Abstract: In this paper we calculated the spectral dimension of loop quantum gravity (LQG) using the scaling property of the area operator spectrum on spin-network states and using the scaling property of the volume and length operators on Gaussian states. We obtained that the spectral dimension of the spatial section runs from 1.5 to 3, and under particular assumptions from 2 to 3 across a 1.5 phase when the energy of a probe scalar field decreases from high to low energy in a fictitious time T. We calculated also the spectral dimension of space-time using the scaling of the area spectrum operator calculated on spin-foam models. The main result is that the effective dimension is 2 at the Planck scale and 4 at low energy. This result is consistent with two other approaches to non perturbative quantum gravity: "causal dynamical triangulation" and "asymptotically safe quantum gravity". We studied the scaling properties of all the possible curvature invariants and we have shown that the singularity problem seems to be solved in the covariant formulation of quantum gravity in terms of spin-foam models. For a particular form of the scaling (or for a particular area operator spectrum) all the curvature invariants are regular also in the Trans-Planckian regime.
 
  • #871


http://arxiv.org/abs/0905.1501
Spin foam models for quantum gravity from lattice path integrals
Valentin Bonzom
19 pages, 1 figure
(Submitted on 10 May 2009)
"Spin foam models for quantum gravity are derived from lattice path integrals. The setting involves variables from both lattice BF theory and Regge calculus. The action consists in a Regge action, which depends on areas, dihedral angles and includes the Immirzi parameter. In addition, a measure is inserted to ensure a consistent gluing of simplices, so that the amplitude is dominated by configurations which satisfy the parallel transport relations. We explicitly compute the path integral as a sum over spin foams for a generic measure. The Freidel-Krasnov and Engle-Pereira-Rovelli models correspond to a special choice of gluing. In this case, the equations of motion describe genuine geometries, where the constraints of area-angle Regge calculus are satisfied. Furthermore, the Immirzi parameter drops out of the on-shell action, and stationarity with respect to area variations requires spacetime geometry to be flat."

http://arxiv.org/abs/0905.1670v1
(Broken) Gauge Symmetries and Constraints in Regge Calculus
Benjamin Bahr, Bianca Dittrich
32 pages, 15 figures
(Submitted on 11 May 2009)
"We will examine the issue of diffeomorphism symmetry in simplicial models of (quantum) gravity, in particular for Regge calculus. We find that for a solution with curvature there do not exist exact gauge symmetries on the discrete level. Furthermore we derive a canonical formulation that exactly matches the dynamics and hence symmetries of the covariant picture. In this canonical formulation broken symmetries lead to the replacements of constraints by so--called pseudo constraints. These considerations should be taken into account in attempts to connect spin foam models, based on the Regge action, with canonical loop quantum gravity, which aims at implementing proper constraints. We will argue that the long standing problem of finding a consistent constraint algebra for discretized gravity theories is equivalent to the problem of finding an action with exact diffeomorphism symmetries. Finally we will analyze different limits in which the pseudo constraints might turn into proper constraints. This could be helpful to infer alternative discretization schemes in which the symmetries are not broken."
 
Last edited:
  • #872


http://arxiv.org/abs/0905.2170
Fractal Dimension in 3d Spin-Foams

Francesco Caravelli, Leonardo Modesto
(Submitted on 13 May 2009)
In this paper we perform the calculation of the spectral dimension of the space-time in 3d quantum gravity using the dynamics of the Ponzano-Regge vertex (PR) and its quantum group generalization (Turaev-Viro model (TV)). We realize this considering a very simple decomposition of the 3d space-time and introducing a boundary state which selects a classical geometry on the boundary. We obtain that the spectral dimension of the space-time runs from 2 to 3, across a 1.5 phase, when the energy of a probe scalar field decreases from high to low energy. For the TV model the spectral dimension at hight energy increase with the value of the cosmological constant. At low energy the presence of the cosmological constant does not change the spectral dimension.

http://arxiv.org/abs/0905.2031
L.Fatibene, M.Francaviglia
Global Barbero-Immirzi Connections

The Barbero-Immirzi (BI) connection, as usually introduced out of a spin connection, is a global object though it does not transform properly as a genuine connection with respect to generic spin transformations, unless quite specific and suitable gauges are imposed. We shall here investigate whether and under which global conditions a (properly transforming and hence global) SU(2)-connection can be canonically defined in a gauge covariant way in such a way that SU(2)-connection locally agrees with the usual BI connection and can be defined on pretty general bundles (in particular triviality is not assumed). As a by-product we shall also introduce a global covariant SU(2)-connection over the whole spacetime (while for technical reasons the BI connection in the standard formulation is just introduced on a space slice) which restricts to the usual BI connection on a space slice.
 
  • #873


I don't know if it fits on this thread, but since it comes from Ambjorn and Loll, here it goes:
http://arxiv.org/abs/0905.2108

Summing over all Topologies in CDT String Field TheoryJ. Ambjorn, R. Loll, W. Westra, S. Zohren
(Submitted on 13 May 2009 (v1), last revised 13 May 2009 (this version, v2))
By explicitly allowing for topology to change as a function of time, two-dimensional quantum gravity defined through causal dynamical triangulations gives rise to a new continuum string field theory. Within a matrix-model formulation we show that -- rather remarkably -- the associated sum over all genera can be performed in closed form, leading to a nonperturbative definition of CDT string field theory. We also obtain explicit formulas for the n-loop correlation functions. Our construction exhibits interesting parallels with previous, purely Euclidean treatments.
 
  • #874


Here is an important Rovelli paper which was too early to get on the arxiv.
http://ccdb4fs.kek.jp/cgi-bin/img/allpdf?200034016
The preprint is dated November 1989, and the arxiv collection of preprints only got started later like around 1991.
This paper was published in Physical Review D around 1991. Coin pointed me to this.

http://arxiv.org/abs/0905.2421
On the quantum fate of singularities in a dark-energy dominated universe
Mariam Bouhmadi-Lopez, Claus Kiefer, Barbara Sandhoefer, Paulo Vargas Moniz
20 pages, 6 figures
(Submitted on 14 May 2009)
"Classical models for dark energy can exhibit a variety of singularities, many of which occur for scale factors much bigger than the Planck length. We address here the issue whether some of these singularities, the big freeze and the big demarrage, can be avoided in quantum cosmology. We use the framework of quantum geometrodynamics. We restrict our attention to a class of models whose matter content can be described by a generalized Chaplygin gas and be represented by a scalar field with an appropriate potential. Employing the DeWitt criterium that the wave function be zero at the classical singularity, we show that a class of solutions to the Wheeler-DeWitt equation fulfilling this condition can be found. These solutions thus avoid the classical singularity. We discuss the reasons for the remaining ambiguity in fixing the solution."


http://arxiv.org/abs/0905.2446
Einstein-aether as a quantum effective field theory
Benjamin Withers
21 pages
(Submitted on 14 May 2009)
"The possibility that Lorentz symmetry is violated in gravitational processes is relatively unconstrained by experiment, in stark contrast with the level of accuracy to which Lorentz symmetry has been confirmed in the matter sector. One model of Lorentz violation in the gravitational sector is Einstein-aether theory, in which Lorentz symmetry is broken by giving a vacuum expectation value to a dynamical vector field. In this paper we analyse the effective theory for quantised gravitational and aether perturbations. We show that this theory possesses a controlled effective expansion within dimensional regularisation, that is, for any process there are a finite number of Feynman diagrams which will contribute to a given order of accuracy. We find that there is no log-running of the two-derivative phenomenological parameters, justifying the use of experimental constraints for these parameters obtained over many orders of magnitude in energy scale. Given the stringent experimental bounds on two-derivative Lorentz-violating operators, we estimate the size of matter Lorentz-violation which arises due to loop effects. This amounts to an estimation of the natural size of coefficients for Lorentz-violating dimension-six matter operators, which in turn can be used to obtain a new bound on the two-derivative parameters of this theory."

http://arxiv.org/abs/0905.2798
Quantum gravity without Lorentz invariance
Thomas P Sotiriou (Cambridge University), Matt Visser (Victoria University of Wellington), Silke Weinfurtner (UBC Vancouver)
36 pages
(Submitted on 18 May 2009)
"There has been a significant surge of interest in Horava's model for 3+1 dimensional quantum gravity, this model being based on anisotropic scaling at a z=3 Lifgarbagez point. Horava's model, and its variants, show dramatically improved ultra-violet behaviour at the cost of exhibiting violation of Lorentz invariance at ultra-high momenta. Following up on our earlier note, [arXiv:0904.4464 [hep-th]], we discuss in more detail our variant of Horava's model. In contrast to Horava's original model, we abandon "detailed balance" and restore parity invariance. We retain, however, Horava's "projectability condition" and explore its implications. Under these conditions, we explicitly exhibit the most general model, and extract the full classical equations of motion in ADM form. We analyze both spin-2 and spin-0 graviton propagators around flat Minkowski space. We furthermore analyze the classical evolution of FLRW cosmologies in this model, demonstrating that the higher-derivative spatial curvature terms can be used to mimic radiation fluid and stiff matter. We conclude with some observations concerning future prospects."
 
Last edited by a moderator:
  • #875


http://arxiv.org/abs/0905.2983
Single particle in quantum gravity and BGS entropy of a spin network
Carlo Rovelli, Francesca Vidotto
8 pages
(Submitted on 18 May 2009)
"Passerini and Severini have recently shown that the Braunstein-Ghosh-Severini (BGS) entropy S(Gamma) = -Tr[rho(Gamma) log rho(Gamma)] of a certain density matrix rho(Gamma) naturally associated to a graph Gamma, is maximized, among all graphs with a fixed number of links and nodes, by regular graphs. We ask if this result can play a role in quantum gravity, and be related to the apparent regularity of the physical geometry of space. We show that in Loop Quantum Gravity the matrix rho(Gamma) is precisely the Hamiltonian operator (suitably normalized) of a non-relativistic quantum particle interacting with the quantum gravitational field, if we restrict elementary area and volume eigenvalues to a fixed value. This operator provides a spectral characterization of the physical geometry, and can be interpreted as a state describing the spectral information about the geometry available when geometry is measured by its physical interaction with matter. It is then tempting to interpret its BGS entropy S(Gamma) as a genuine physical entropy: we discuss the appeal and the difficulties of this interpretation."
 
  • #876


http://arxiv.org/abs/0905.3170

Self-dual Black Holes in LQG: Theory and Phenomenology

Leonardo Modesto, Isabeau Prémont-Schwarz
(Submitted on 20 May 2009)
In this paper we have recalled the semiclassical metric obtained from a classical analysis of the loop quantum black hole (LQBH). We show that the regular Reissner-Nordstrom-like metric is self-dual in the sense of T-duality: the form of the metric obtained in Loop quantum Gravity (LQG) is invariant under the exchange "r <-> a0/r" where "a0" is proportional to the minimum area in LQG and "r" is the standard Schwarzschild radial coordinate at asymptotic infinity. Of particular interest, the symmetry imposes that if an observer at "r" close to infinity sees a black hole of mass "m" an observer in the other asymptotic infinity beyond the horizon (at "r" close to "0") sees a dual mass "mp/m" ("mp" is the Planck mass). We then show that small LQBH are stable and could be a component of dark matter. Ultra-light LQBHs created shortly after the Big Bang would now have a mass of approximately "10^(-5) mp" and emit radiation with a typical energy of about 10^(13) - 10^(14) eV but they would also emit cosmic rays of much higher energies, albeit few of them. If these small LQBHs form a majority of the dark matter of the Milky Way's Halo, the production rate of ultra-high-energy-cosmic-rays (UHECR) by these ultra light black holes would be compatible with the observed rate of the Auger detector.
 
  • #877


http://arxiv.org/abs/0905.3168
Black hole entropy and SU(2) Chern-Simons theory
Jonathan Engle, Karim Noui, Alejandro Perez
4 pages, 1 figure
(Submitted on 19 May 2009)
"We show that the isolated horizon boundary condition can be treated in a manifestly SU(2) invariant manner. The symplectic structure of gravity with the isolated horizon boundary condition has an SU(2) Chern-Simons symplectic structure contribution at the horizon with level k=a_H/ (4\pi \beta \ell^2_p). Upon quantization, state counting is expressed in terms of the dimension of Chern-Simons Hilbert spaces on a sphere with marked points (defects). In the large black hole limit quantum horizon degrees of freedom can be modeled by a single intertwiner. The coupling constant of the defects with the Chern Simons theory on the horizon is precisely given by the ratio of the area contribution of the defect to the macroscopic area a_H, namely \lambda= 16\pi^2 \beta \ell^2_p (j(j+1))^{1/2}/a_H."
 
  • #878


http://arxiv.org/abs/0905.3465

Flux-area operator and black hole entropy

J. Fernando Barbero G., Jerzy Lewandowski, Eduardo J. S. Villaseñor
(Submitted on 21 May 2009)
We show that, for space-times with inner boundaries, there exists a natural area operator different from the standard one used in loop quantum gravity. This new flux-area operator has equidistant eigenvalues. We discuss the consequences of substituting the standard area operator in the Ashtekar-Baez-Corichi-Krasnov definition of black hole entropy by the new one. Our choice simplifies the definition of the entropy and allows us to consider only those areas that coincide with the one defined by the value of the level of the Chern-Simons theory describing the horizon degrees of freedom. We give a prescription to count the number of relevant horizon states by using spin components and obtain exact expressions for the black hole entropy. Finally we derive its asymptotic behavior, discuss several issues related to the compatibility of our results with the Bekenstein-Hawking area law and the relation with Schwarzschild quasi-normal modes.
 
  • #879


http://arxiv.org/abs/0905.3492
Semiclassical Quantum Gravity: Obtaining Manifolds from Graphs
Luca Bombelli, Alejandro Corichi, Oliver Winkler
16 pages, 5 figures
(Submitted on 21 May 2009)
"We address the 'inverse problem' for discrete geometry, which consists in determining whether, given a discrete structure of a type that does not in general imply geometrical information or even a topology, one can associate with it a unique manifold in an appropriate sense, and constructing the manifold when it exists. This problem arises in a variety of approaches to quantum gravity that assume a discrete structure at the fundamental level; the present work is motivated by the semiclassical sector of loop quantum gravity, so we will take the discrete structure to be a graph and the manifold to be a spatial slice in spacetime. We identify a class of graphs, those whose vertices have a fixed valence, for which such a construction can be specified. We define a procedure designed to produce a cell complex from a graph and show that, for graphs with which it can be carried out to completion, the resulting cell complex is in fact a PL-manifold. Graphs of our class for which the procedure cannot be completed either do not arise as edge graphs of manifold cell decompositions, or can be seen as cell decompositions of manifolds with structure at small scales (in terms of the cell spacing). We also comment briefly on how one can extend our procedure to more general graphs."
 
  • #880


http://arxiv.org/abs/0905.3627

Holomorphic Factorization for a Quantum Tetrahedron

Laurent Freidel, Kirill Krasnov, Etera R. Livine
(Submitted on 22 May 2009)

Abstract: We provide a holomorphic description of the Hilbert space H(j_1,..,j_n) of SU(2)-invariant tensors (intertwiners) and establish a holomorphically factorized formula for the decomposition of identity in H(j_1,..,j_n). Interestingly, the integration kernel that appears in the decomposition formula turns out to be the n-point function of bulk/boundary dualities of string theory. Our results provide a new interpretation for this quantity as being, in the limit of large conformal dimensions, the exponential of the Kahler potential of the symplectic manifold whose quantization gives H(j_1,..,j_n). For the case n=4, the symplectic manifold in question has the interpretation of the space of "shapes" of a geometric tetrahedron with fixed face areas, and our results provide a description for the quantum tetrahedron in terms of holomorphic coherent states. We describe how the holomorphic intertwiners are related to the usual real ones by computing their overlap. The semi-classical analysis of these overlap coefficients in the case of large spins allows us to obtain an explicit relation between the real and holomorphic description of the space of shapes of the tetrahedron. Our results are of direct relevance for the subjects of loop quantum gravity and spin foams, but also add an interesting new twist to the story of the bulk/boundary correspondence.
 
  • #881


http://arxiv.org/abs/0905.3772

Group field theory renormalization - the 3d case: power counting of divergences
Authors: Laurent Freidel, Razvan Gurau, Daniele Oriti
(Submitted on 22 May 2009)

Abstract: We take the first steps in a systematic study of Group Field Theory renormalization, focusing on the Boulatov model for 3D quantum gravity. We define an algorithm for constructing the 2D triangulations that characterize the boundary of the 3D bubbles, where divergences are located, of an arbitrary 3D GFT Feynman diagram. We then identify a special class of graphs for which a complete contraction procedure is possible, and prove, for these, a complete power counting. These results represent important progress towards understanding the origin of the continuum and manifold-like appearance of quantum spacetime at low energies, and of its topology, in a GFT framework.
 
  • #882


http://arxiv.org/abs/0905.4082

LQG propagator from the new spin foams
Authors: Eugenio Bianchi, Elena Magliaro, Claudio Perini
(Submitted on 25 May 2009)

Abstract: We compute metric correlations in loop quantum gravity with the dynamics defined by the new spin foam models. The analysis is done at the lowest order in a vertex expansion and at the leading order in a large spin expansion. The result is compared to the graviton propagator of perturbative quantum gravity.

http://arxiv.org/abs/0905.4220

Bare vs. Effective Fixed Point Action in Asymptotic Safety: The Reconstruction Problem
Authors: Elisa Manrique, Martin Reuter
(Submitted on 26 May 2009)

Abstract: We propose a method for the (re)-construction of a regularized functional integral, well defined in the ultraviolet limit, from a solution of the functional renormalization group equation of the effective average action. The functional integral is required to reproduce this solution. The method is of particular interest for asymptotically safe theories. The bare action for the Einstein-Hilbert truncation of Quantum Einstein Gravity (QEG) is computed and its flow is analyzed. As a second example conformally reduced gravity is explored. Various conceptual issues related to the reconstruction problem are discussed.
 
  • #883


http://arxiv.org/abs/0905.4188
Pushing Further the Asymptotics of the 6j-symbol
Maite Dupuis, Etera R. Livine
16 pages
(Submitted on 26 May 2009)
"In the context of spinfoam models for quantum gravity, we investigate the asymptotical behavior of the 6j-symbol at next-to-leading order. We compute it analytically and check our results against numerical calculations. The 6j-symbol is the building block of the Ponzano-Regge amplitudes for 3d quantum gravity, and the present analysis is directly relevant to deriving the quantum corrections to gravitational correlations in the spinfoam formalism."
 
  • #884


http://arxiv.org/abs/0903.5303
Disordered Locality as an Explanation for the Dark Energy
Authors: Chanda Prescod-Weinstein, Lee Smolin
(Submitted on 30 Mar 2009)

Abstract: We discuss a novel explanation of the dark energy as a manifestation of macroscopic non-locality coming from quantum gravity, as proposed by Markopoulou. It has been previously suggested that in a transition from an early quantum geometric phase of the universe to a low temperature phase characterized by an emergent spacetime metric, locality might have been "disordered". This means that there is a mismatch of micro-locality, as determined by the microscopic quantum dynamics and macro-locality as determined by the classical metric that governs the emergent low energy physics. In this paper we discuss the consequences for cosmology by studying a simple extension of the standard cosmological models with disordered locality. We show that the consequences can include a naturally small vacuum energy.

http://arxiv.org/abs/0905.3551
Stellar Black Holes and the Origin of Cosmic Acceleration
Authors: Chanda Prescod-Weinstein (Perimeter Institute/U-Waterloo), Niayesh Afshordi (Perimeter Institute), Michael L. Balogh (U-Waterloo)
(Submitted on 22 May 2009)

Abstract: The discovery of cosmic acceleration has presented a unique challenge for cosmologists. As observational cosmology forges ahead, theorists have struggled to make sense of a standard model that requires extreme fine tuning. This challenge is known as the cosmological constant problem. The theory of gravitational aether is an alternative to general relativity that does not suffer from this fine-tuning problem, as it decouples the quantum field theory vacuum from geometry, while remaining consistent with other tests of gravity. In this paper, we study static black hole solutions in this theory and show that it manifests a UV-IR coupling: Aether couples the spacetime metric close to the black hole horizon, to metric at infinity. We then show that using the Trans-Planckian ansatz (as a quantum gravity effect) close to the black hole horizon, leads to an accelerating cosmological solution, far from the horizon. Interestingly, this acceleration matches current observations for stellar mass black holes. Based on our current understanding of the black hole accretion history in the Universe, we then make a prediction for how the effective dark energy density should evolve with redshift, which can be tested with future dark energy probes.
 
  • #885


http://arxiv.org/abs/0905.3828
Quantum Theory of Ur Objects and General Relativity
Authors: Martin Kober
(Submitted on 24 May 2009)

Abstract: The quantum theory of ur objects postulates that all existing physical objects and their properties are constructed from fundamental objects called ur objects being described by an element of a two dimensional complex Hilbert space. This approach is based on the assumption that quantum theory represents a theory being constitutive for human knowledge. Physical objects are characterized by the information one can gain from them being contained in the quantum state they are described by. Since every Hilbert space can be represented as a tensor product of two dimensional Hilbert spaces, one is led to the ur objects. According to this approach relativistic quantum fields and thus the existence of a Minkowski space-time are the consequence of an iteration of a quantization of binary alternatives. In the original formulation there was only obtained a description of quantum fields on a flat Minkowski space-time. In this work there is made the attempt to incorporate general relativity. Thus the existence of a (3+1)-dimensional space-time in the sense of general relativity is assumed to be a consequence of quantum theory interpreted in an abstract sense.

http://arxiv.org/abs/0905.3828
Cosmological Perturbations in Hořava-Lifgarbagez Gravity
Authors: Xian Gao, Yi Wang, R. Brandenberger, A. Riotto
(Submitted on 23 May 2009)

Abstract: We study cosmological perturbations in Ho\v{r}ava-Lifgarbagez Gravity. We consider scalar metric fluctuations about a homogeneous and isotropic space-time. Starting from the most general metric, we work out the complete second order action for the perturbations. We then make use of the residual gauge invariance and of the constraint equations to reduce the number of dynamical degrees of freedom. After introducing the Sasaki-Mukhanov variable, the combination of spatial metric fluctuation and matter inhomogeneity for which the action in General Relativity has canonical form, we find that this variable has the standard time derivative term in the second order action, and that the extra degree of freedom is non-dynamical. The limit $\lambda \to 1$ is well-behaved, unlike what is obtained when performing incomplete analyses of cosmological fluctuations. Thus, there is no strong coupling problem for Ho\v{r}ava-Lifgarbagez gravity when considering cosmological solutions. We also compute the spectrum of cosmological perturbations. If the potential in the action is taken to be of "detailed balance" form, we find a cancelation of the highest derivative terms in the action for the curvature fluctuations. As a consequence, the initial spectrum of perturbations will not be scale-invariant in a general spacetime background. As an application, we consider fluctuations in an inflationary background and draw connections with the "trans-Planckian problem" for cosmological perturbations. In the special case in which the potential term in the action is of detailed balance form and in which $\lambda = 1$, the equation of motion for cosmological perturbations in the far UV takes the same form as in GR. However, in general the equation of motion is characterized by a modified dispersion relation.
 
  • #886


http://arxiv.org/abs/0905.4222

Undecidability and the problem of outcomes in quantum measurements
Authors: Rodolfo Gambini, Luis Pedro Garcia Pintos, Jorge Pullin
(Submitted on 26 May 2009)

Abstract: We argue that it is fundamentally impossible to recover information about quantum superpositions when a system has interacted with a sufficiently large number of degrees of freedom of the environment. This is due to the fact that gravity imposes fundamental limitations on how accurate measurements can be. This leads to the notion of undecidability: there is no way to tell, due to fundamental limitations, if a quantum system evolved unitarily or suffered wavefunction collapse. This in turn provides a solution to the problem of outcomes in quantum measurement by providing a sharp criterion for defining when an event has taken place. We analyze in detail in examples two situations in which in principle one could recover information about quantum coherence: a) "revivals" of coherence in the interaction of a system with the environment and b) the measurement of global observables of the system plus apparatus plus environment. We show in the examples that the fundamental limitations due to gravity and quantum mechanics in measurement prevent both revivals from occurring and the measurement of global observables. It can therefore be argued that the emerging picture provides a complete resolution to the measurement problem in quantum mechanics.
 
  • #887


http://arxiv.org/abs/0905.4402
The Montevideo interpretation of quantum mechanics: frequently asked questions
Authors: Rodolfo Gambini, Jorge Pullin
(Submitted on 27 May 2009)

Abstract: In a series of recent papers we have introduced a new interpretation of quantum mechanics, which for brevity we will call the Montevideo interpretation. In it, the quantum to classical transition is achieved via a phenomenon called "undecidability" which stems from environmental decoherence supplemented with a fundamental mechanism of loss of coherence due to gravity. Due to the fact that the interpretation grew from several results that are dispersed in the literature, we put together this straightforward-to-read article addressing some of the main points that may confuse readers.
 
  • #888


http://arxiv.org/abs/0905.4117
Thermodynamics and classification of cosmological models in the Horava-Lifgarbagez theory of gravity
Authors: Anzhong Wang, Yumei Wu
(Submitted on 26 May 2009)

Abstract: We study thermodynamics of cosmological models in the Horava-Lifgarbagez theory of gravity, and systematically investigate the evolution of the universe filled with a perfect fluid that has the equation of state $p=w\rho$, where $p$ and $\rho$ denote, respectively, the pressure and energy density of the fluid, and $w$ is an arbitrary real constant. Depending on specific values of the free parameters involved in the models, we classify all of them into various cases. In each case the main properties of the evolution are studied in detail, including the periods of deceleration and/or acceleration, and the existence of big bang, big crunch, and big rip singularities. We pay particular attention on models that may give rise to a bouncing universe

http://arxiv.org/abs/0905.4530
Signature-change events in emergent spacetimes with anisotropic scaling
Authors: Silke Weinfurtner (University of British Columbia), Angela White (Newcastle University), Matt Visser (Victoria University of Wellington)
(Submitted on 28 May 2009)

Abstract: We investigate the behaviour of quantum fields coupled to a spacetime geometry exhibiting finite regions of Euclidean (Riemannian) signature. Although from a gravity perspective this situation might seem somewhat far fetched, we will demonstrate its direct physical relevance for an explicitly realizable condensed matter system whose linearized perturbations experience an effective emergent spacetime geometry with externally controllable signature. This effective geometry is intrinsically quantum in origin, and its signature is determined by the details of the microscopic structure. At the level of the effective field theory arising from our condensed matter system we encounter explicit anisotropic scaling in time and space. Here Lorentz symmetry is an emergent symmetry in the infrared. This anisotropic scaling of time and space cures some of the technical problems that arise when working within a canonical quantisation scheme obeying strict Lorentz invariance at all scales, and so is helpful in permitting signature change events to take place.

http://arxiv.org/abs/0905.4639
Particle decay in de Sitter spacetime via quantum tunneling
Authors: G.E. Volovik
(Submitted on 28 May 2009)

Abstract: The quantum tunneling process of decay of the composite particle in the de Sitter vacuum looks as thermal radiation with the effective temperature twice larger than the Hawking temperature associated with the cosmological horizon
 
  • #889


http://arxiv.org/abs/0905.4529"
The Internal Spin Angular Momentum of an Asymptotically Flat Spacetime
Andrew Randono, David Sloan

In this paper we investigate the manner in which the internal spin angular momentum of a spinor field is encoded in the gravitational field at asymptotic infinity. The inclusion of internal spin requires us to re-analyze our notion of asymptotic flatness. In particular, the Poincarè symmetry at asymptotic infinity must replaced by a spin-enlarged Poincarè symmetry. Likewise, the generators of the asymptotic symmetry group must be supplemented to account for the internal spin. In the Hamiltonian framework of first order Einstein-Cartan gravity, the extra generator comes from the boundary term of the Gauss constraint in the asymptotically flat context. With the additional term, we establish the relations among the Noether charges of a Dirac field, the Komar integral, and the asymptotic ADM-like geometric integral. We show that by imposing mild restraints on the generating functionals of gauge transformations at asymptotic infinity, the phase space is rendered explicitly finite. We construct the energy-momentum and the new total (spin+orbital) angular momentum boundary integrals that satisfy the appropriate algebra to be the generators of the spin-enlarged Poincarè symmetry. This demonstrates that the internal spin is encoded in the tetrad at asymptotic infinity. In addition, ee find that a new conserved and (spin-enlarged) Poincarè invariant charge emerges that is associated with the global structure of a gauge transformation.
 
Last edited by a moderator:
  • #890


http://arxiv.org/abs/0905.4916

Black holes in full quantum gravity

Kirill Krasnov, Carlo Rovelli
(Submitted on 29 May 2009)
Quantum black holes have been studied extensively in quantum gravity and string theory, using various semiclassical or background dependent approaches. We explore the possibility of studying black holes in the full non-perturbative quantum theory, without recurring to semiclassical considerations, and in the context of loop quantum gravity. We propose a definition of a quantum black hole as the collection of the quantum degrees of freedom that do not influence observables at infinity. From this definition, it follows that for an observer at infinity a black hole is described by an SU(2) intertwining operator. The dimension of the Hilbert space of such intertwiners grows exponentially with the horizon area. These considerations shed some light on the physical nature of the microstates contributing to the black hole entropy. In particular, it can be seen that the microstates being counted for the entropy have the interpretation of describing different horizon shapes. The space of black hole microstates described here is related to the one arrived at recently by Engle, Noui and Perez, and sometime ago by Smolin, but obtained here directly within the full quantum theory.

http://arxiv.org/abs/0905.4949

A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology

Alejandro Corichi, Parampreet Singh
(Submitted on 29 May 2009)
We re-examine the issue of singularity resolution in homogeneous loop quantum cosmology from the perspective of geometrical entities such as expansion rate and the shear scalar. These quantities are very reliable measures of the properties of spacetime and can be defined not only at the classical and effective level, but also at an operator level in the quantum theory. From the spectrum of the corresponding operators and their behavior in the effective loop quantum spacetime, we show that one can severely restrict the ambiguities in regularization of the quantum constraint and rule out unphysical choices. We analyze this in the flat isotropic model and the Bianchi-I spacetimes. In the former case we show that the expansion rate operator has a bounded spectrum only for the so called improved quantization, a result which synergizes with uniqueness of this quantization as proved earlier. For the Bianchi-I spacetime, we show that out of the available choices, the expansion rate and shear operator are bounded for only one regularization of the quantum constraint. It turns out only this choice has a well defined quantum gravity scale.
 
  • #891


http://arxiv.org/abs/0906.0292

Lattice Refining Loop Quantum Cosmology from an Isotropic Embedding of Anisotropic Cosmology

William Nelson, Mairi Sakellariadou
(Submitted on 1 Jun 2009)
We demonstrate that it is possible to produce different isotropic embeddings of anisotropic Loop Quantum Cosmology, resulting to "lattice refinement" in the isotropic system. To introduce the general approach, we first use a simple model with only two anisotropic directions. We then employ the specific case of a Bianchi I model, to show how the method extends to three-dimensional systems. To concisely calculate the step-size of the resulting isotropic state, we define the "symmetric dual" of states and operators, for the two- and three-dimensional systems, respectively. Moreover, we prove how the "symmetric dual" of operators may be used to improve the approximation of the curvature operator, for systems with non-constant holonomy shifts.
 
  • #892


http://arxiv.org/abs/0906.0569
LTB spacetimes in terms of Dirac observables
Authors: K. Giesel, J. Tambornino, T. Thiemann
(Submitted on 2 Jun 2009)

Abstract: The construction of Dirac observables, that is gauge invariant objects, in General Relativity is technically more complicated than in other gauge theories such as the standard model due to its more complicated gauge group which is closely related to the group of spacetime diffeomorphisms. However, the explicit and usually cumbersome expression of Dirac observables in terms of gauge non invariant quantities is irrelevant if their Poisson algebra is sufficiently simple. Precisely that can be achieved by employing the relational formalism and a specific type of matter proposed originally by Brown and Kucha{\v r}, namely pressureless dust fields. Moreover one is able to derive a compact expression for a physical Hamiltonian that drives their physical time evolution. The resulting gauge invariant Hamiltonian system is obtained by Higgs -- ing the dust scalar fields and has an infinite number of conserved charges which force the Goldstone bosons to decouple from the evolution. In previous publications we have shown that explicitly for cosmological perturbations. In this article we analyse the spherically symmetric sector of the theory and it turns out that the solutions are in one--to--one correspondence with the class of Lemaitre--Tolman--Bondi metrics. Therefore the theory is capable of properly describing the whole class of gravitational experiments that rely on the assumption of spherical symmetry.
 
  • #893


http://arxiv.org/abs/0906.0681
Lorentz Violation: Motivation and new constraints
Stefano Liberati (SISSA, Trieste and INFN, Trieste), Luca Maccione (DESY, Hamburg)
Prepared for Annual Review of Nuclear and Particle Science
(Submitted on 3 Jun 2009)
"We review the main theoretical motivations and observational constraints on Planck scale suppressed violations of Lorentz invariance. After introducing the problems related to the phenomenological study of quantum gravitational effects, we discuss the main theoretical frameworks within which possible departures from Lorentz invariance can be described. In particular, we focus on the framework of Effective Field Theory, describing several possible ways of including Lorentz violation therein and discussing their theoretical viability. We review the main low energy effects that are expected in this framework. We discuss the current observational constraints on such a framework, focusing on those achievable through high-energy astrophysics observations. In this context we present a summary of the most recent and strongest constraints on QED with Lorentz violating non-renormalizable operators. Finally, we discuss the present status of the field and its future perspectives."
 
  • #894


http://arxiv.org/abs/0906.0666
Regulating the infrared by mode matching: A massless scalar in expanding spaces with constant deceleration
Authors: T. M. Janssen, T. Prokopec
(Submitted on 3 Jun 2009)

Abstract: In this paper we consider a massless scalar field, with a possible coupling $\xi$ to the Ricci scalar in a $D$ dimensional FLRW spacetime with a constant deceleration parameter $q=\epsilon-1$, $\epsilon=-{\dot{H}}/{H^2}$. Correlation functions for the Bunch-Davies vacuum of such a theory have long been known to be infrared divergent for a wide range of values of $\epsilon$. We resolve these divergences by explicitly matching the spacetime under consideration to a spacetime without infrared divergencies. Such a procedure ensures that all correlation functions with respect to the vacuum in the spacetime of interest are infrared finite. In this newly defined vacuum we construct the coincidence limit of the propagator and as an example calculate the expectation value of the stress energy tensor. We find that this approach gives both in the ultraviolet and in the infrared satisfactory results. Moreover, we find that, unless the effective mass due to the coupling to the Ricci scalar $\xi R$ is negative, quantum contributions to the energy density always dilute away faster, or just as fast, as the background energy density. Therefore, quantum backreaction is insignificant at the one loop order, unless $\xi R$ is negative. Finally we compare this approach with known results where the infrared is regulated by placing the Universe in a finite box. In an accelerating universe, the results are qualitatively the same, provided one identifies the size of the Universe with the physical Hubble radius at the time of the matching. In a decelerating universe however, the two schemes give different late time behavior for the quantum stress energy tensor. This happens because in this case the length scale at which one regulates the infrared becomes sub-Hubble at late times.
 
  • #895


http://arxiv.org/abs/0906.0926

Bootstrapping gravity: a consistent approach to energy-momentum self-coupling
Authors: Luke M. Butcher, Michael Hobson, Anthony Lasenby
(Submitted on 4 Jun 2009)

Abstract: It is generally believed that coupling the graviton (a classical Fierz-Pauli massless spin-2 field) to its own energy-momentum tensor successfully recreates the dynamics of the Einstein field equations order by order; however the validity of this idea has recently been brought into serious doubt [1]. To remedy this confusion, we present a graviton action for which energy-momentum self-coupling is indeed consistent with the Einstein field equations. The Hilbert energy-momentum tensor for this graviton is calculated explicitly and shown to supply the correct second-order term in the field equations. A formalism for perturbative expansions of metric-based gravitational theories is then developed, and these techniques employed to demonstrate that our graviton action is a starting point for a straightforward energy-momentum self-coupling procedure that, order by order, generates the Einstein-Hilbert action (up to a classically irrelevant surface term). The perturbative formalism is extended to include matter and a cosmological constant, and interactions between perturbations of a free matter field and the gravitational field are studied in a vacuum background. Finally, the effect of a non-vacuum background is examined, and the graviton is found to develop a non-vanishing "mass-term" in the action.
 
  • #896


http://arxiv.org/abs/0906.1047
de Sitter equilibrium as a fundamental framework for cosmology
Andreas Albrecht
(Submitted on 5 Jun 2009)
14 pages, 2 figures. To appear in the proceedings of the DICE2008 conference, Thomas Elze ed. (IOP 2009)
"Cosmology might turn out to be the study of fluctuations around a 'de Sitter equilibrium' state. In this article I review the basic ideas and the attractive features of this framework, and respond to a number common questions raised about the de Sitter equilibrium picture. I show that this framework does not suffer from the 'Boltzmann Brain' problem, and relate this cosmological picture to recent work on the 'clock ambiguity' ".

http://arxiv.org/abs/0906.1385
Do Spinors Frame-Drag?
Andrew Randono
(Submitted on 7 Jun 2009)
"We investigate the effect of the intrinsic spin of a fundamental spinor field on the surrounding spacetime geometry. We show that despite the lack of a rotating stress-energy source (and despite claims to the contrary) the intrinsic spin of a spin-half fermion gives rise to a frame-dragging effect analogous to that of orbital angular momentum, even in Einstein-Hilbert gravity where torsion is constrained to be zero. This resolves a paradox regarding the counter-force needed to restore Newton's third law in the well known spin-orbit interaction. In addition, the frame-dragging effect gives rise to a long-range gravitationally mediated spin-spin dipole interaction coupling the internal spins of two sources. We argue that despite the weakness of the interaction, the spin-spin interaction will dominate over the ordinary inverse square Newtonian interaction in any process of sufficiently high-energy for quantum field theoretical effects to be non-negligible."
 
Last edited:
  • #897


http://arxiv.org/abs/0906.1774
Quantum scalar field in quantum gravity: the vacuum in the spherically symmetric case
Rodolfo Gambini, Jorge Pullin, Saeed Rastgoo
15 pages, one figure
(Submitted on 9 Jun 2009)
"We study gravity coupled to a scalar field in spherical symmetry using loop quantum gravity techniques. Since this model has local degrees of freedom, one has to face 'the problem of dynamics', that is, diffeomorphism and Hamiltonian constraints that do not form a Lie algebra. We tackle the problem using the 'uniform discretization' technique. We study the expectation value of the master constraint and argue that among the states that minimize the master constraint is one that incorporates the usual Fock vacuum for the matter content of the theory."

The next thing is just a nice easy survey about how dark matter is being imaged and studied
http://arxiv.org/abs/0906.1597
Digging into dark matter with weak gravitational lensing
Richard Massey
8 pages. To appear in SnowPAC2009 conference proceedings
(Submitted on 8 Jun 2009)
"Ordinary baryonic particles (such as protons and neutrons) account for only one-sixth of the total matter in the Universe. The remainder is a mysterious "dark matter" component, which does not interact via the electromagnetic force and thus neither emits nor reflects light. However, evidence is mounting for its gravitational influence. The past few years have seen particular progress in observations of weak gravitational lensing, the slight deflection of light from distant galaxies due to the curvature of space around foreground mass. Recent surveys from the Hubble Space Telescope have provided direct proof for dark matter, and the first measurements of its properties. We review recent results, then prospects and challenges for future gravitational lensing surveys."
 
Last edited:
  • #898


http://arxiv.org/abs/0906.2016

Planck-scale effects for Chandrasekhar model and TOV equations

Giovanni Amelino-Camelia, Niccolo' Loret, Gianluca Mandanici, Flavio Mercati
(Submitted on 11 Jun 2009)
In a recent paper by Camacho a class of Planck-scale effects that is of interest from a quantum-gravity perspective was studied within the framework of the Chandrasekhar model of white dwarfs, also hoping to use observations of white dwarfs to constrain (or search for) the Planck-scale effects. We generalize Camacho's results by considering a broader class of Planck-scale effects, and taking into account general-relativistic corrections to the Chandrasekhar model. The Planck-scale effects do turn out to be remarkably amplified to macroscopic scales, but only in a regime of ultra-high densities where the Chandrasekhar model no longer provides a meaningful physical description of stars. While our results appear to rule out the possibility of observations of white dwarfs that would provide meaningful experimental insight on the relevant Planck-scale effects, we argue that the analysis does provide some elements of intuition that could be valuable in quantum-gravity research, particularly in as much as they can contribute to a shift of focus from ultra-small length scales to ultra-high densities.
 
  • #899


http://arxiv.org/abs/0906.2503
Effective dynamics of the closed loop quantum cosmology
Jakub Mielczarek, Orest Hrycyna, Marek Szydlowski
18 pages, 11 figures
(Submitted on 13 Jun 2009)
"In this paper we study dynamics of the closed FRW model with holonomy corrections coming from loop quantum cosmology. We consider models with a scalar field and cosmological constant. In case of the models with cosmological constant and free scalar field, dynamics reduce to 2D system and analysis of solutions simplify. If only free scalar field is included then universe undergoes non-singular oscillations. For the model with cosmological constant, different behaviours are obtained depending on the value of Lambda. If the value of Lambda is sufficiently small, bouncing solutions with asymptotic de Sitter stages are obtained. However if the value of Lambda exceeds critical value Lambdac =
\frac{\sqrt{3}m^2_{\text{Pl}}}{2\pi\gamma^3} \simeq 21 m^2_{\text{Pl}}
then solutions become oscillatory. Subsequently we study models with a massive scalar field. We find that this model possesses generic inflationary attractors. In particular field, initially situated in the bottom of the potential, is driven up during the phase of quantum bounce. This subsequently leads to the phase of inflation. Finally we find that, comparing with the flat case, effects of curvature do not change qualitatively dynamics close to the phase of bounce. Possible effects of inverse volume corrections are also briefly discussed."
 
Last edited:
  • #900


I hope Fra wil like this paper i'ts related to Zurek's Quantum Dawrwinism ideas.

http://arxiv.org/abs/0906.2700
Anthropomorphic Quantum Darwinism as an explanation for Classicality
Authors: Thomas Durt
(Submitted on 15 Jun 2009)
Abstract: According to the so-called ``Quantum Darwinist'' approach, the emergence of ``classical islands'' from a quantum background is assumed to obey a (selection) principle of maximal information. We illustrate this idea by considering the coupling of two particles that interact through a position-dependent potential. This approach sheds a new light on the emergence of classical logics and of our classical preconceptions about the world. The distinction between internal and external world, the Cartesian prejudice according to which the whole can be reduced to the sum of its parts and the appearance of preferred representation bases such as the position is seen here as the result of a very long evolution and would correspond to the most useful way of extracting stable and useful information from the quantum correlations.

http://arxiv.org/abs/0906.1772
SystemsEffective Constraints for Relativistic Quantum
Authors: Martin Bojowald, Artur Tsobanjan
(Submitted on 9 Jun 2009)
Abstract: Determining the physical Hilbert space is often considered the most difficult but crucial part of completing the quantization of a constrained system. In such a situation it can be more economical to use effective constraint methods, which are extended here to relativistic systems as they arise for instance in quantum cosmology. By side-stepping explicit constructions of states, such tools allow one to arrive much more feasibly at results for physical observables at least in semiclassical regimes. Several questions discussed recently regarding effective equations and state properties in quantum cosmology, including the spreading of states and quantum back-reaction, are addressed by the examples studied here.
 
Back
Top