Archived weekly pre-print 21-12-06

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[2112.00918] - A Quantum Informational Approach to the Problem of Time - Salman Sajad Wani, James Q. Quach, Mir Faizal
[2112.00919] - Jackiw-Teitelboim and Kantowski-Sachs quantum cosmology - Georgios Fanaras, Alexander Vilenkin
[2112.01429] - Ultraviolet dimensional reduction of spacetime with zero-point length - Vikramaditya Mondal
[2112.00937] - Topological Order of Quantum Gravity in $AdS_3$ Spacetime - JIngbo Wang

Authors: Alexander F. Jercher, Daniele Oriti, Andreas G. A. Pithis
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Arxiv link: https://arxiv.org/abs/2112.00091
Abstract We study the cosmological sector of the Lorentzian Barrett-Crane (BC) model coupled to a free massless scalar field in its Group Field Theory (GFT) formulation, corresponding to the mean-field hydrodynamics obtained from coherent condensate states. The relational evolution of the condensate with respect to the scalar field yields effective dynamics of homogeneous and isotropic cosmologies, similar to those previously obtained in $\text{SU}(2)$-based EPRL-like models. Also in this manifestly Lorentzian setting, in which only continuous $\text{SL}(2,\mathbb{C})$-representations are used, we obtain generalized Friedmann equations that generically exhibit a quantum bounce, and can reproduce all of the features of the cosmological dynamics of EPRL-like models. This lends support to the expectation that the EPRL-like and BC models may lie in the same continuum universality class, and that the quantum gravity mechanism producing effective bouncing scenarios may not depend directly on the discretization of geometric observables.

Authors: Alexander F. Jercher, Daniele Oriti, Andreas G. A. Pithis
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Arxiv link: https://arxiv.org/abs/2112.00091
Abstract We study the cosmological sector of the Lorentzian Barrett-Crane (BC) model coupled to a free massless scalar field in its Group Field Theory (GFT) formulation, corresponding to the mean-field hydrodynamics obtained from coherent condensate states. The relational evolution of the condensate with respect to the scalar field yields effective dynamics of homogeneous and isotropic cosmologies, similar to those previously obtained in $\text{SU}(2)$-based EPRL-like models. Also in this manifestly Lorentzian setting, in which only continuous $\text{SL}(2,\mathbb{C})$-representations are used, we obtain generalized Friedmann equations that generically exhibit a quantum bounce, and can reproduce all of the features of the cosmological dynamics of EPRL-like models. This lends support to the expectation that the EPRL-like and BC models may lie in the same continuum universality class, and that the quantum gravity mechanism producing effective bouncing scenarios may not depend directly on the discretization of geometric observables.

[2112.00199] - From Quantum Codes to Gravity: A Journey of Gravitizing Quantum Mechanics - ChunJun Cao
[2112.00576] - Symmetries and Conservation Laws in Horava Gravity - Deniz O. Devecioglu, Mu-In Park

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[2111.14996] - The running vacuum in effective quantum gravity - Breno L. Giacchini, Tiberio de Paula Netto, Ilya L. Shapiro
[2111.15230] - Holographic topological defects in a ring: role of diverse boundary conditions - Zhi-Hong Li, Han-Qing Shi, Hai-Qing Zhang
[2111.14864] - Conformal Hypergeometry and Integrability - Volker Schomerus

Authors: Valentin Bonzom, Maïté Dupuis, Qiaoyin Pan
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Arxiv link: https://arxiv.org/abs/2111.14471
Abstract We develop in a companion article the kinematics of three-dimensional loop quantum gravity in Euclidean signature and with a negative cosmological constant, focusing in particular on the spinorial representation which is well-known at zero cosmological constant. In this article, we put this formalism to the test by quantizing the Hamiltonian constraint on the dual of a triangulation. The Hamiltonian constraints are obtained by projecting the flatness constraints onto spinors, as done in the flat case by the first author and Livine. Quantization then relies on $q$-deformed spinors. The quantum Hamiltonian constraint acts in the $q$-deformed spin network basis as difference equations on physical states, which are thus the Wheeler-DeWitt equations in this framework. Moreover, we study how physical states transform under Pachner moves of the canonical surface. We find that those transformations are in fact $q$-deformations of the transition amplitudes of the flat case as found by Noui and Perez. Our quantum Hamiltonian constraints therefore build a Turaev-Viro model at real $q$.

Authors: Manu Mathur, Atul Rathor
Subjects: Mathematical Physics (math-ph); High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)
Arxiv link: https://arxiv.org/abs/2111.14685
Abstract We exploit the spin network properties of the magnetic eigenstates of SU(2) Hamiltonian lattice gauge theory and use the Wilson loop operators to obtain a wide class of new identities amongst 3nj Wigner coefficients. We also show that the topological ground states of the SU(2) toric code Hamiltonian lead to Wigner 3nj identities with non-trivial phases. The method is very general and involves only the eigenvalue equations of any gauge invariant operator and their solutions. Therefore, it can be extended to any higher dimensional spin networks as well as larger SU(N) groups.

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[2111.14749] - A method of distinguishing between black holes and wormholes - Wei Hong, Jun Tao, Tongjie Zhang

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[2111.13575] - Quantization of a Black-Hole Gravity: geometrodynamics and the quantum phase-space formalism - Carla Rodrigues Almeida, Denis Campos Rodrigues
[2111.12916] - Non-abelian Einstein-Born-Infeld AdS black brane and color DC conductivity - Mehdi Sadeghi
[2111.13232] - Lorentzian quantum gravity and the graviton spectral function - Jannik Fehre, Daniel F. Litim, Jan M. Pawlowski, Manuel Reichert
[2111.13560] - Perturbing Isoradial Triangulations - Francois David, Jeanne Scott