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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. (in preparation). Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-4D80-6 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-4D92-2
Genre: Paper

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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: 2019-03-18
 Publication Status: Not specified
 Pages: 40 pages, 13 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1903.07344
URI: http://arxiv.org/abs/1903.07344
 Degree: -

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