Entanglement Entropy Near Cosmological Singularities
High Energy Physics - Theory
2017-07-26 v2 General Relativity and Quantum Cosmology
Abstract
We investigate the behavior of the entanglement entropy of a confining gauge theory near cosmological singularities using gauge/gravity duality. As expected, the coefficients of the UV divergent terms are given by simple geometric properties of the entangling surface in the time-dependent background. The finite (universal) part of the entanglement entropy either grows without bound or remains bounded depending on the nature of the singularity and entangling region. We also discuss a confinement/deconfinement phase transition as signaled by the entanglement entropy.
Cite
@article{arxiv.1303.4442,
title = {Entanglement Entropy Near Cosmological Singularities},
author = {Netta Engelhardt and Gary T. Horowitz},
journal= {arXiv preprint arXiv:1303.4442},
year = {2017}
}
Comments
16 pages, 5 figures, v2: typo corrected