View Poll Results: Which paper(s) will prove most valuable to future research?  
Holonomy observables in PonzanoRegge type state sum models  0  0%  
Towards Loop Quantization of Plane Gravitational Waves  1  25.00%  
Towards Loop Quantum Supergravity (LQSG)  1  25.00%  
Relative locality: A deepening of the relativity principle  0  0%  
Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations  1  25.00%  
Spectral Action for RobertsonWalker metrics  0  0%  
New Variables for Classical and Quantum Gravity in all Dimensions I. Hamiltonian Analysis  1  25.00%  
Spinor Representation for Loop Quantum Gravity  2  50.00%  
Critical behavior of colored tensor models in the large N limit  2  50.00%  
Cosmological Constant in LQG Vertex Amplitude  1  25.00%  
A note on the geometrical interpretation of quantum groups and noncommutative spaces in gravity  1  25.00%  
Effective Hamiltonian Constraint from Group Field Theory  1  25.00%  
Multiple Choice Poll. Voters: 4. You may not vote on this poll 

#1
Jul511, 07:12 PM

Astronomy
Sci Advisor
PF Gold
P: 22,800

Of these twelve candidates, please choose the paper or papers which you think will contribute most significantly to future quantum gravity research. Since multiple choices are possible in the poll, you may select several papers. Abstract summaries follow in the next post.
Holonomy observables in PonzanoRegge type state sum models John W. Barrett, Frank Hellmann http://arxiv.org/abs/1106.6016 http://arxiv.org/cits/1106.6016 Towards Loop Quantization of Plane Gravitational Waves Franz Hinterleitner, Seth Major http://arxiv.org/abs/1106.1448 http://arxiv.org/cits/1106.1448 Towards Loop Quantum Supergravity (LQSG) Norbert Bodendorfer, Thomas Thiemann, Andreas Thurn http://arxiv.org/abs/1106.1103 http://arxiv.org/cits/1106.1103 Relative locality: A deepening of the relativity principle Giovanni AmelinoCamelia, Laurent Freidel, Jerzy KowalskiGlikman, Lee Smolin http://arxiv.org/abs/1106.0313 http://arxiv.org/cits/1106.0313 Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations Thomas P. Sotiriou, Matt Visser, Silke Weinfurtner http://arxiv.org/abs/1105.5646 http://arxiv.org/cits/1105.5646 Spectral Action for RobertsonWalker metrics Ali H. Chamseddine, Alain Connes http://arxiv.org/abs/1105.4637 http://arxiv.org/cits/1105.4637 New Variables for Classical and Quantum Gravity in all Dimensions I. Hamiltonian Analysis Norbert Bodendorfer, Thomas Thiemann, Andreas Thurn http://arxiv.org/abs/1105.3703 http://arxiv.org/cits/1105.3703 Spinor Representation for Loop Quantum Gravity Etera R. Livine, Johannes Tambornino http://arxiv.org/abs/1105.3385 http://arxiv.org/cits/1105.3385 Critical behavior of colored tensor models in the large N limit Valentin Bonzom, Razvan Gurau, Aldo Riello, Vincent Rivasseau http://arxiv.org/abs/1105.3122 http://arxiv.org/cits/1105.3122 Cosmological Constant in LQG Vertex Amplitude Muxin Han http://arxiv.org/abs/1105.2212 http://arxiv.org/cits/1105.2212 A note on the geometrical interpretation of quantum groups and noncommutative spaces in gravity Eugenio Bianchi, Carlo Rovelli http://arxiv.org/abs/1105.1898 http://arxiv.org/cits/1105.1898 Effective Hamiltonian Constraint from Group Field Theory Etera R. Livine, Daniele Oriti, James P. Ryan http://arxiv.org/abs/1104.5509 http://arxiv.org/cits/1104.5509 



#2
Jul511, 07:41 PM

Astronomy
Sci Advisor
PF Gold
P: 22,800

Holonomy observables in PonzanoRegge type state sum models
John W. Barrett, Frank Hellmann http://arxiv.org/abs/1106.6016 http://arxiv.org/cits/1106.6016 We study observables on group elements in the PonzanoRegge model. We show that these observables have a natural interpretation in terms of Feynman diagrams on a sphere and contrast them to the well studied observables on the spin labels. We elucidate this interpretation by showing how they arise from the nogravity limit of the TuraevViro model and ChernSimons theory. 5 pages, 2 figures Towards Loop Quantization of Plane Gravitational Waves Franz Hinterleitner, Seth Major http://arxiv.org/abs/1106.1448 http://arxiv.org/cits/1106.1448 The polarized Gowdy model in terms of AshtekarBarbero variables is further reduced by including the Killing equations for planefronted parallel gravitational waves with parallel rays. The resulting constraint algebra, including one constraint derived from the Killing equations in addition to the standard ones of General Relativity, are shown to form a set of firstclass constraints. Using earlier work by Banerjee and Date the constraints are expressed in terms of classical quantities that have an operator equivalent in Loop Quantum Gravity, making spacetimes with ppwaves accessible to loop quantization techniques. 14 pages Towards Loop Quantum Supergravity (LQSG) Norbert Bodendorfer, Thomas Thiemann, Andreas Thurn http://arxiv.org/abs/1106.1103 http://arxiv.org/cits/1106.1103 Should nature be supersymmetric, then it will be described by Quantum Supergravity at least in some energy regimes. The currently most advanced description of Quantum Supergravity and beyond is Superstring Theory/MTheory in 10/11 dimensions. String Theory is a top to bottom approach to Quantum Supergravity in that it postulates a new object, the string, from which classical supergravity emerges as a low energy limit. On the other hand, one may try more traditional bottom to top routes and apply the techniques of Quantum Field Theory. Loop Quantum Gravity (LQG) is a manifestly background independent and non perturbative approach to the quantisation of classical General Relativity, however, so far mostly without supersymmetry. The main obstacle to the extension of the techniques of LQG to the quantisation of higher dimensional Supergravity is that LQG rests on a specific connection formulation of General Relativity which exists only in D + 1 = 4 dimensions. In this paper we introduce a new connection formulation of General Relativity which exists in all spacetime dimensions. We show that all LQG techniques developed in D + 1 = 4 can be transferred to the new variables in all dimensions and describe how they can be generalised to the new types of fields that appear in Supergravity Theories as compared to standard matter, specifically RaritaSchwinger and pform gauge fields. 12 pages Relative locality: A deepening of the relativity principle Giovanni AmelinoCamelia, Laurent Freidel, Jerzy KowalskiGlikman, Lee Smolin http://arxiv.org/abs/1106.0313 http://arxiv.org/cits/1106.0313 We describe a recently introduced principle of relative locality which we propose governs a regime of quantum gravitational phenomena accessible to experimental investigation. This regime comprises phenomena in which hbar and GN may be neglected, while their ratio, the Planck mass Mp = sqrt[hbar/GN], is important. We propose that Mp governs the scale at which momentum space may have a curved geometry. We find that there are striking consequences for the concept of locality. The description of events in spacetime now depends on the energy used to probe it. But there remains an invariant description of physics in phase space. There is furthermore a reasonable expectation that the geometry of momentum space can be measured experimentally using astrophysical observations. 8 pages Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations Thomas P. Sotiriou, Matt Visser, Silke Weinfurtner http://arxiv.org/abs/1105.5646 http://arxiv.org/cits/1105.5646 We explore the ultraviolet continuum regime of causal dynamical triangulations, as probed by the flow of the spectral dimension. We set up a framework in which one can find continuum theories that can fully reproduce the behaviour of the latter in this regime. In particular, we show that HoravaLifgarbagez gravity can mimic the flow of the spectral dimension in causal dynamical triangulations to high accuracy and over a wide range of scales. This seems to indicate that the two theories lie in the same universality class. 5 pages, 3 figures Spectral Action for RobertsonWalker metrics Ali H. Chamseddine, Alain Connes http://arxiv.org/abs/1105.4637 http://arxiv.org/cits/1105.4637 We use the EulerMaclaurin formula and the FeynmanKac formula to extend our previous method of computation of the spectral action based on the Poisson summation formula. We show how to compute directly the spectral action for the general case of RobertsonWalker metrics. We check the terms of the expansion up to a_{6} against the known universal formulas of Gilkey and compute the expansion up to a_{10} using our direct method. 28 pages New Variables for Classical and Quantum Gravity in all Dimensions I. Hamiltonian Analysis Norbert Bodendorfer, Thomas Thiemann, Andreas Thurn http://arxiv.org/abs/1105.3703 http://arxiv.org/cits/1105.3703 Loop Quantum Gravity heavily relies on a connection formulation of General Relativity such that 1. the connection Poisson commutes with itself and 2. the corresponding gauge group is compact. This can be achieved starting from the Palatini or Holst action when imposing the time gauge. Unfortunately, this method is restricted to D+1 = 4 spacetime dimensions. However, interesting String theories and Supergravity theories require higher dimensions and it would therefore be desirable to have higher dimensional Supergravity loop quantisations at one's disposal in order to compare these approaches. In this series of papers, we take first steps towards this goal. The present first paper develops a classical canonical platform for a higher dimensional connection formulation of the purely gravitational sector. The new ingredient is a different extension of the ADM phase space than the one used in LQG, which does not require the time gauge and which generalises to any dimension D > 1. The result is a YangMills theory phase space subject to Gauss, spatial diffeomorphism and Hamiltonian constraint as well as one additional constraint, called the simplicity constraint. The structure group can be chosen to be SO(1,D) or SO(D+1) and the latter choice is preferred for purposes of quantisation. 28 pages Spinor Representation for Loop Quantum Gravity Etera R. Livine, Johannes Tambornino http://arxiv.org/abs/1105.3385 http://arxiv.org/cits/1105.3385 We perform a quantization of the loop gravity phase space purely in terms of spinorial variables, which have recently been shown to provide a direct link between spin network states and simplicial geometries. The natural Hilbert space to represent these spinors is the Bargmann space of holomorphic squareintegrable functions over complex numbers. We show the unitary equivalence between the resulting generalized Bargmann space and the standard loop quantum gravity Hilbert space by explicitly constructing the unitary map. The latter maps SU(2)holonomies, when written as a function of spinors, to their holomorphic part. We analyze the properties of this map in detail. We show that the subspace of gauge invariant states can be characterized particularly easy in this representation of loop gravity. Furthermore, this map provides a tool to efficiently calculate physical quantities since integrals over the group are exchanged for straightforward integrals over the complex plane. 37 pages Critical behavior of colored tensor models in the large N limit Valentin Bonzom, Razvan Gurau, Aldo Riello, Vincent Rivasseau http://arxiv.org/abs/1105.3122 http://arxiv.org/cits/1105.3122 Colored tensor models have been recently shown to admit a large N expansion, whose leading order encodes a sum over a class of colored triangulations of the Dsphere. The present paper investigates in details this leading order. We show that the relevant triangulations proliferate like a species of colored trees. The leading order is therefore summable and exhibits a critical behavior, independent of the dimension. A continuum limit is reached by tuning the coupling constant to its critical value while inserting an infinite number of pairs of Dsimplices glued together in a specific way. We argue that the dominant triangulations are branched polymers. 20 pages Cosmological Constant in LQG Vertex Amplitude Muxin Han http://arxiv.org/abs/1105.2212 http://arxiv.org/cits/1105.2212 A new qdeformation of the Euclidean EPRL/FK vertex amplitude is proposed by using the evaluation of the Vassiliev invariant associated with a 4simplex graph (related to two copies of quantum SU(2) group at different roots of unity). We show that the largej asymptotics of the qdeformed vertex amplitude gives the Regge action with cosmological constant (in the corresponding 4simplex). In the end we also discuss its relation with a ChernSimons theory on the boundary of 4simplex. 6 pages, 5 figures A note on the geometrical interpretation of quantum groups and noncommutative spaces in gravity Eugenio Bianchi, Carlo Rovelli http://arxiv.org/abs/1105.1898 http://arxiv.org/cits/1105.1898 Quantum groups and noncommutative spaces have been repeatedly utilized in approaches to quantum gravity. They provide a mathematically elegant cutoff, often interpreted as related to the Planckscale quantum uncertainty in position. We consider here a different geometrical interpretation of this cutoff, where the relevant noncommutative space is the space of directions around any spacetime point. The limitations in angular resolution expresses the finiteness of the angular size of a Planckscale minimal surface at a maximum distance [itex]1/\sqrt{\Lambda}[/itex] related the cosmological constant Lambda. This yields a simple geometrical interpretation for the relation between the quantum deformation parameter [tex]q=e^{i \Lambda l_{Planck}^2} [/tex] and the cosmological constant, and resolves a difficulty of more conventional interpretations of the physical geometry described by quantum groups or fuzzy spaces. 2 pages, 1 figure Effective Hamiltonian Constraint from Group Field Theory Etera R. Livine, Daniele Oriti, James P. Ryan http://arxiv.org/abs/1104.5509 http://arxiv.org/cits/1104.5509 Spinfoam models provide a covariant formulation of the dynamics of loop quantum gravity. They are nonperturbatively defined in the group field theory (GFT) framework: the GFT partition function defines the sum of spinfoam transition amplitudes over all possible (discretized) geometries and topologies. The issue remains, however, of explicitly relating the specific form of the group field theory action and the canonical Hamiltonian constraint. Here, we suggest an avenue for addressing this issue. Our strategy is to expand group field theories around nontrivial classical solutions and to interpret the induced quadratic kinematical term as defining a Hamiltonian constraint on the group field and thus on spin network wave functions. We apply our procedure to Boulatov group field theory for 3d Riemannian gravity. Finally, we discuss the relevance of understanding the spectrum of this Hamiltonian operator for the renormalization of group field theories. 14 pages αβγδεζηθικλμνξοπρσςτυφχψω...ΓΔΘΛΞΠΣΦΨΩ...∏∑∫∂√ ...± ÷...←↓→↑↔~≈≠≡≤≥...½...∞...(⇐⇑⇒⇓⇔∴∃ℝℤℕℂ⋅) 


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