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  Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula

Chirco, G., Goeßmann, A., Oriti, D., & Zhang, M. (2020). Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula. Classical and Quantum Gravity, 37(9): 095011. doi:10.1088/1361-6382/ab7bb9.

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1903.07344.pdf (Preprint), 879KB
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 Creators:
Chirco, Goffredo1, Author           
Goeßmann, Alex, Author
Oriti, Daniele2, Author           
Zhang, Mingyi3, 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              
3AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We introduce group field theory networks as a generalization of spin networks
and of (symmetric) random tensor networks and provide a statistical computation
of the R\'enyi entropy for a bipartite network state using the partition
function of a simple interacting group field theory. The expectation value of
the entanglement entropy is calculated by an expansion into stranded Feynman
graphs and is shown to be captured by a Ryu- Takayanagi formula. For a simple
interacting group field theory, we can prove the linear corrections, given by a
polynomial perturbation of the Gaussian measure, to be negligible for a broad
class of networks.

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 Dates: 2019-03-182020
 Publication Status: Issued
 Pages: 40 pages, 13 figures
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 37 (9) Sequence Number: 095011 Start / End Page: - Identifier: -