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  Statistical equilibrium of tetrahedra from maximum entropy principle

Chirco, G., Kotecha, I., & Oriti, D. (submitted). Statistical equilibrium of tetrahedra from maximum entropy principle.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-82BF-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-5472-E
Genre: Journal Article

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1811.00532.pdf (Preprint), 686KB
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 Creators:
Chirco, Goffredo, Author
Kotecha, Isha1, Author              
Oriti, Daniele2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: Discrete formulations of (quantum) gravity in four spacetime dimensions build space out of tetrahedra. We investigate a statistical mechanical system of tetrahedra from a many-body point of view based on non-local, combinatorial gluing constraints that are modelled as multi-particle interactions. We focus on Gibbs equilibrium states, constructed using Jaynes' principle of constrained maximisation of entropy, which has been shown recently to play an important role in characterising equilibrium in background independent systems. We apply this principle first to classical systems of many tetrahedra using different examples of geometrically motivated constraints. Then for a system of quantum tetrahedra, we show that the quantum statistical partition function of a Gibbs state with respect to some constraint operator can be reinterpreted as a partition function for a quantum field theory of tetrahedra, taking the form of a group field theory.

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 Dates: 2018-11-012019
 Publication Status: Submitted
 Pages: 17 pages, 4 figures
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 Identifiers: arXiv: 1811.00532
URI: http://arxiv.org/abs/1811.00532
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Title: Physical Review D
Source Genre: Journal
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