[EDIT: My informal comments follow the abstracts, in parentheses. I have shortened one of the abstracts for compactness]
http://arxiv.org/abs/1403.7482
Deformed Spinor Networks for Loop Gravity: Towards Hyperbolic Twisted Geometries
Maité Dupuis, Florian Girelli, Etera R. Livine
(Submitted on 28 Mar 2014)
In the context of a canonical quantization of general relativity, one can deform the loop gravity phase space on a graph by replacing the T*SU(2) phase space attached to each edge by SL(2,C) seen as a phase space. This deformation is supposed to encode the presence of a non-zero cosmological constant. Here we show how to parametrize this phase space in terms of spinor variables, thus obtaining deformed spinor networks for loop gravity, with a deformed action of the gauge group SU(2) at the vertices. These are to be formally interpreted as the generalization of loop gravity twisted geometries to a hyperbolic curvature.
15 pages, 4 figures
(putting a non-zero cosmological constant into spinor-network terms)
http://arxiv.org/abs/1403.6396
Viability of the matter bounce scenario in Loop Quantum Cosmology from BICEP2 last data
Jaume de Haro, Jaume Amorós
(Submitted on 25 Mar 2014)
The CMB map provided by the Planck project constrains the value of the ratio of tensor-to-scalar perturbations, namely r, to be smaller than 0.11 (95% CL). This bound rules out the simplest models of inflation. However, recent data from BICEP2 is in strong tension with this constrain, as it finds a value r=0.20
+0.07−0.05 with r=0 disfavored at 7.0σ, which allows these simplest inflationary models to survive. The remarkable fact is that, even though the BICEP2 experiment was conceived to search for evidence of inflation, its experimental data matches correctly theoretical results coming from the matter bounce scenario (the alternative model to the inflationary paradigm). More precisely, most bouncing cosmologies do not pass Planck's constrains due to the smallness of the value of the tensor/scalar ratio r≤0.11, but with new BICEP2 data some of them fit well with experimental data. This is the case with the matter bounce scenario in the teleparallel version of Loop Quantum Cosmology.
Comments: 1 figure.
(self-explanatory)
http://arxiv.org/abs/1403.3190
A curvature operator for LQG
Emanuele Alesci, Mehdi Assanioussi, Jerzy Lewandowski
(Submitted on 13 Mar 2014)
We introduce a new operator in Loop Quantum Gravity - the 3D curvature operator - related to the 3-dimensional scalar curvature. The construction is based on Regge Calculus. We define it starting from the classical expression of the Regge curvature, then we derive its properties and discuss some explicit checks of the semi-classical limit.
20 pages
(a new LQG operator - 3D curvature, based on Regge, with good semi-classical limit.)
http://tel.archives-ouvertes.fr/docs/00/95/24/98/PDF/diss.pdf
The Chiral Structure of Loop Quantum Gravity
Wolfgang Wieland
(posted on 3 March 2014)
Loop gravity ...comes in two versions. The canonical approach seeks to solve the Wheeler–DeWitt equation and find the physical states of the theory. Spinfoam gravity, on the other hand, takes a covariant path integral representation to define the transition amplitudes of the theory. Both approaches use the same Hilbert space, but we do not know whether they actually define the same theory.
In this thesis, I will present four results, all of which lie in between the two approaches…
We start with the classical theory…After the first introductory chapter, we will use the original self-dual connection to repeat the canonical analysis for the Holst action, while leaving the Barbero–Immirzi parameter untouched. The resulting constraint equations depend on this parameter, yet maintain a polynomial form. To guarantee that the metric is real, we have to introduce additional constraints. These reality conditions match the linear simplicity constraints of spinfoam gravity. They are preserved in time only if the spatial spin connection is torsionless, which appears as a secondary constraint in the canonical analysis. This is our first complex of results.
The next chapter is about the classical theory,... Here, we develop the generalisation to SL(2,C), that is we use twistors to parametrise the phase space of self-dual holonomy-flux variables. This is the second result.
We will then discuss the spinfoam dynamics in terms of these twistorial variables, and arrive at our third result: A new Hamiltonian formulation of discretised gravity. The Hamiltonian comes with a continuum action adapted to a fixed simplicial discretisation of spacetime. The action is a sum of the spinorial analogue of the topological “BF”- action and the reality conditions that guarantee the existence of a metric.
Chapter four studies the resulting quantum theory. Since the action is a polynomial in the spinors, canonical quantisation is straightforward. Transition amplitudes reproduce the EPRL (Engle–Pereira–Rovelli–Livine) spinfoam model. This is our final result. It shows that spinfoam gravity can be derived from a classical action, with spinors as the fundamental configuration variables.
160 pages, 9 figures
(appropriate treatment of time and Hamiltonian in 4d spin foam, recovering EPRL amplitudes)

http://arxiv.org/abs/1402.6708
A one-dimensional action for simplicial gravity in three dimensions
Wolfgang M. Wieland
(Submitted on 26 Feb 2014)
This article presents a derivation of the Ponzano--Regge model from a one-dimensional spinor action. The construction starts from the first-order Palatini formalism in three dimensions. We then introduce a simplicial decomposition of the three-dimensional manifold and study the discretised action in the spinorial representation of loop gravity. A one-dimensional refinement limit along the edges of the discretisation brings us back to a continuum formulation. The three-dimensional action turns into a line integral over the one-skeleton of the simplicial manifold. All fields are continuous but have support only along the one-dimensional edges. We define the path integral, and remove the redundant integrals over the local gauge orbits through the usual Faddeev--Popov procedure. The resulting state sum model reproduces the Ponzano--Regge amplitudes.
19 pages, 2 figures
(consistency check of spinorial LQG in 3d, recovers Ponzano-Regge amplitudes.)
http://arxiv.org/abs/1402.6613
Numerical simulations of a loop quantum cosmos: robustness of the quantum bounce and the validity of effective dynamics
Peter Diener, Brajesh Gupt, Parampreet Singh
(Submitted on 26 Feb 2014)
A key result of isotropic loop quantum cosmology is the existence of a quantum bounce which occurs when the energy density of the matter field approaches a universal maximum close to the Planck density. Though the bounce has been exhibited in various matter models, due to severe computational challenges some important questions have so far remained unaddressed. These include the demonstration of the bounce for widely spread states, its detailed properties for the states when matter field probes regions close to the Planck volume and the reliability of the continuum effective spacetime description in general. In this manuscript we rigorously answer these questions using the Chimera numerical scheme for the isotropic spatially flat model sourced with a massless scalar field. We show that as expected from an exactly solvable model, the quantum bounce is a generic feature of states even with a very wide spread, and for those which bounce much closer to the Planck volume. We perform a detailed analysis of the departures from the effective description and find some expected, and some surprising results. At a coarse level of description, the effective dynamics can be regarded as a good approximation to the underlying quantum dynamics unless the states correspond to small scalar field momenta, in which case they bounce closer to the Planck volume, or are very widely spread. Quantifying the amount of discrepancy between the quantum and the effective dynamics, we find that the departure between them depends in a subtle and non-monotonic way on the field momentum and different fluctuations. Interestingly, the departures are generically found to be such that the effective dynamics overestimates the spacetime curvature, and underestimates the volume at the bounce.
46 pages, 26 figures
(further numerical confirmation of the bounce and of Loop cosmology's effective equation model)
http://arxiv.org/abs/1402.4138
Near-Horizon Radiation and Self-Dual Loop Quantum Gravity
Marc Geiller, Karim Noui
(Submitted on 17 Feb 2014)
We compute the near-horizon radiation of quantum black holes in the context of self-dual loop quantum gravity. For this, we first use the unitary spinor basis of SL(2,ℂ) to decompose states of Lorentzian spin foam models into their self-dual and anti self-dual parts, and show that the reduced density matrix obtained by tracing over one chiral component describes a thermal state at Unruh temperature. Then, we show that the analytically-continued dimension of the SU(2) Chern-Simons Hilbert space, which reproduces the Bekenstein-Hawking entropy in the large spin limit in agreement with the large spin effective action, takes the form of a partition function for states thermalized at Unruh temperature, with discrete energy levels given by the near-horizon energy of Frodden-Gosh-Perez, and with a degenerate ground state which is holographic and responsible for the entropy.
6+2 pages
(Ashtekar-type, self-dual variables making a comeback)
http://arxiv.org/abs/arXiv:1402.3155
Quantum Reduced Loop Gravity: Semiclassical limit
Emanuele Alesci, Francesco Cianfrani
(Submitted on 13 Feb 2014)
We discuss the semiclassical limit of Quantum Reduced Loop Gravity, a recently proposed model to address the quantum dynamics of the early Universe. We apply the techniques developed in full Loop Quantum Gravity to define the semiclassical states in the kinematical Hilbert space and evaluating the expectation value of the euclidean scalar constraint we demonstrate that it coincides with the classical expression, i.e. the one of a local Bianchi I dynamics. The result holds as a leading order expansion in the scale factors of the Universe and opens the way to study the subleading corrections to the semiclassical dynamics. We outline how by retaining a suitable finite coordinate length for holonomies our effective Hamiltonian at the leading order coincides with the one expected from LQC. This result is an important step in fixing the correspondence between LQG and LQC.
23 pages
(semiclassical limit)
http://arxiv.org/abs/arXiv:1402.2084
Black Hole Entropy in Loop Quantum Gravity, Analytic Continuation, and Dual Holography
Muxin Han
(Submitted on 10 Feb 2014)
A new approach to black hole thermodynamics is proposed in Loop Quantum Gravity (LQG), by defining a new black hole partition function, followed by analytic continuations of Barbero-Immirzi parameter to γ∈iℝ and Chern-Simons level to k∈iℝ. The analytic continued partition function has remarkable features: The black hole entropy S=A/4ℓ
P2 is reproduced correctly for infinitely many γ=iη, at least for η∈ℤ∖{0}. The near-horizon Unruh temperature emerges as the pole of partition function. Interestingly, by analytic continuation the partition function can have a dual statistical interpretation corresponding to a dual quantum theory of γ∈iℤ. The dual quantum theory implies a semiclassical area spectrum for γ∈iℤ. It also implies that at a given near horizon (quantum) geometry, the number of quantum states inside horizon is bounded by a holographic degeneracy d=e
A/4ℓP2, which produces the Bekenstein bound from LQG.
On the other hand, the result in arXiv:1212.4060 receives a justification here.
5 pages
(Ashtekar-type, self-dual variables making a comeback)
http://arxiv.org/abs/arXiv:1402.1038
A note on entanglement entropy and quantum geometry
Norbert Bodendorfer
(Submitted on 5 Feb 2014)
It has been argued that the entropy which one is computing in the isolated horizon framework of loop quantum gravity is closely related to the entanglement entropy of the gravitational field and that the calculation performed is not restricted to horizons. We recall existing work on this issue and explain how recent work on generalising these computations to arbitrary spacetime dimensions D+1>2 supports this point of view and makes the duality between entanglement entropy and the entropy computed from counting boundary states manifest. In a certain semiclassical regime in 3+1 dimensions, this entropy is given by the Bekenstein-Hawking formula.
14 pages
(entropy = entanglement entropy)
http://arxiv.org/abs/1401.7731
Quantization of systems with temporally varying discretization II: Local evolution moves
Philipp A Hoehn
(Submitted on 30 Jan 2014)
Several quantum gravity approaches and field theory on an evolving lattice involve a discretization changing dynamics generated by evolution moves. Local evolution moves in variational discrete systems (1) are a generalization of the Pachner evolution moves of simplicial gravity models, (2) update only a small subset of the dynamical data, (3) change the number of kinematical and physical degrees of freedom, and (4) generate a dynamical coarse graining or refining of the underlying discretization. To systematically explore such local moves and their implications in the quantum theory, this article suitably expands the quantum formalism for global evolution moves, constructed in a companion paper, by employing that global moves can be decomposed into sequences of local moves. This formalism is spelled out for systems with Euclidean configuration spaces. Various types of local moves, the different kinds of constraints generated by them, the constraint preservation and possible divergences in resulting state sums are discussed. It is shown that non-trivial local coarse graining moves entail a non-unitary projection of (physical) Hilbert spaces and `fine grained' Dirac observables defined on them. Identities for undoing a local evolution move with its (time reversed) inverse are derived. Finally, the implications of these results for a Pachner move generated dynamics in simplicial quantum gravity models are commented on.
36 pages, many figures
(part of Dittrich team's reformulation)
http://arxiv.org/abs/1401.6562
Planck stars
Carlo Rovelli, Francesca Vidotto
(Submitted on 25 Jan 2014)
A star that collapses gravitationally can reach a further stage of its life, where quantum-gravitational pressure counteracts weight. The duration of this stage is very short in the star proper time, yielding a bounce, but extremely long seen from the outside, because of the huge gravitational time dilation. Since the onset of quantum-gravitational effects is governed by energy density ---not by size--- the star can be much larger than Planckian in this phase. The object emerging at the end of the Hawking evaporation of a black hole can then be larger than Planckian by a factor (m/m
P)
n, where m is the mass fallen into the hole, m
P is the Planck mass, and n is positive. We consider arguments for n=1/3 and for n=1. There is no causality violation or faster-than-light propagation. The existence of these objects alleviates the black-hole information paradox. More interestingly, these objects could have astrophysical and cosmological interest: they produce a detectable signal, of quantum gravitational origin, around the 10
−14cm wavelength.
6 pages, 3 figures
(delayed bounce model solves the black hole problems)
http://arxiv.org/abs/arXiv:1401.6441
A new vacuum for Loop Quantum Gravity
Bianca Dittrich, Marc Geiller
(Submitted on 24 Jan 2014)
We construct a new vacuum for loop quantum gravity, which is dual to the Ashtekar-Lewandowski vacuum. Because it is based on BF theory, this new vacuum is physical for (2+1)-dimensional gravity, and much closer to the spirit of spin foam quantization in general. To construct this new vacuum and the associated representation of quantum observables, we introduce a modified holonomy-flux algebra which is cylindrically consistent with respect to the notion of refinement by time evolution suggested in [1]. This supports the proposal for a construction of a physical vacuum made in [1,2], also for (3+1)-dimensional gravity. We expect that the vacuum introduced here will facilitate the extraction of large scale physics and cosmological predictions from loop quantum gravity.
10 pages, 5 figures
(reformulation by Dittrich group: refinement, coarse-graining, classical limit)
http://arxiv.org/abs/1401.6062
Quantization of systems with temporally varying discretization I: Evolving Hilbert spaces
Philipp A Hoehn
(Submitted on 23 Jan 2014)
A temporally varying discretization often features in discrete gravitational systems and appears in lattice field theory models subject to a coarse graining or refining dynamics. To better understand such discretization changing dynamics in the quantum theory, an according formalism for constrained variational discrete systems is constructed. While the present manuscript focuses on global evolution moves and, for simplicity, restricts to Euclidean configuration spaces, a companion article discusses local evolution moves. In order to link the covariant and canonical picture, the dynamics of the quantum states is generated by propagators which satisfy the canonical constraints and are constructed using the action and group averaging projectors. This projector formalism offers a systematic method for tracing and regularizing divergences in the resulting state sums. Non-trivial coarse graining evolution moves lead to non-unitary, and thus irreversible, projections of physical Hilbert spaces and Dirac observables such that these concepts become evolution move dependent on temporally varying discretizations. The formalism is illustrated in a toy model mimicking a 'creation from nothing'. Subtleties arising when applying such a formalism to quantum gravity models are discussed.
44 pages, 1 appendix, 6 figures
(part of Dittrich group's reformulation)
http://arxiv.org/abs/1401.5262
Spacetime thermodynamics without hidden degrees of freedom
Goffredo Chirco, Hal M. Haggard, Aldo Riello, Carlo Rovelli
(Submitted on 21 Jan 2014)
A celebrated result by Jacobson is the derivation of Einstein's equations from Unruh's temperature, the Bekenstein-Hawking entropy and the Clausius relation. This has been repeatedly taken as evidence for an interpretation of Einstein's equations as equations of state for unknown degrees of freedom underlying the metric. We show that a different interpretation of Jacobson result is possible, which does not imply the existence of additional degrees of freedom, and follows only from the quantum properties of gravity. We introduce the notion of quantum gravitational Hadamard states, which give rise to the full local thermodynamics of gravity.
12 pages, 1 figure
(GR derived solely from LQG thermodynamics)
http://arxiv.org/abs/1401.5083
Non-Commutative Geometry, Non-Associative Geometry and the Standard Model of Particle Physics
Latham Boyle, Shane Farnsworth
(Submitted on 20 Jan 2014)
Connes has developed a notion of non-commutative geometry (NCG) that generalizes Riemannian geometry, and provides a framework in which the standard model of particle physics, coupled to Einstein gravity, may be concisely and elegantly reformulated. We point out that his formalism may be recast in a way that generalizes immediately from non-commutative to non-associative geometry. In the process, several of the standard axioms and formulae are conceptually reinterpreted. This reformulation also suggests a new constraint on the finite NCG corresponding to the standard model of particle physics. Remarkably, this new condition resolves a long-standing puzzle about the NCG embedding of the standard model, by precisely eliminating from the action the collection of 7 unwanted terms that previously had to be removed by an extra (empirically-motivated) assumption.
5 pages
(improves on Alain Connes NCG Standard Model)
http://arxiv.org/abs/1401.4452
Black holes within Asymptotic Safety
Benjamin Koch, Frank Saueressig
(Submitted on 17 Jan 2014)
Black holes are probably among the most fascinating objects populating our universe. Their characteristic features found within general relativity, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide a rich testing ground for quantum gravity ideas. We review the status of black holes within a particular proposal for quantum gravity, Weinberg's asymptotic safety program. Starting from a brief survey of the effective average action and scale setting procedures, an improved quantum picture of the black hole is developed. The Schwarzschild black hole and its generalizations including angular momenta, higher-derivative corrections and the implications of extra dimensions are discussed in detail. In addition, the quantum singularity emerging for the inclusion of a cosmological constant is elucidated and linked to the phenomenon of a dynamical dimensional reduction of spacetime.
42 pages; Invited review for International Journal of Modern Physics A
(asym. safe BH)
http://arxiv.org/abs/arXiv:1401.0931
Hamiltonian constraint in Euclidean LQG revisited: First hints of off-shell Closure
Alok Laddha
(Submitted on 5 Jan 2014)
We initiate the hunt for a definition of Hamiltonian constraint in Euclidean Loop Quantum Gravity (LQG) which faithfully represents quantum Dirac algebra. Borrowing key ideas from previous works on Hamiltonian constraint in LQG and several toy models, we present some evidence that there exists such a continuum Hamiltonian constraint operator which is well defined on a suitable generalization of the Lewandowski-Marolf Habitat and is anomaly free off-shell.
68 pages, 6 figures
(problems with the Hamiltonian approach finally yielding)
Although not directly QG-related, two "dark matter particle" papers are included in the poll by popular request
http://arxiv.org/abs/1402.4119
An unidentified line in X-ray spectra of the Andromeda galaxy and Perseus galaxy cluster
Alexey Boyarsky, Oleg Ruchayskiy, Dmytro Iakubovskyi, Jeroen Franse
(possible dark matter particle?)
http://arxiv.org/abs/1402.2301
Detection of An Unidentified Emission Line in the Stacked X-ray spectrum of Galaxy Clusters
Esra Bulbul, Maxim Markevitch, Adam Foster, Randall K. Smith, Michael Loewenstein, Scott W. Randall
(hint of dark matter particle)