Entanglement Entropy Near Cosmological Singularities

TL;DR

This paper explores how entanglement entropy behaves near cosmological singularities in a confining gauge theory, revealing dependence on singularity type and entangling region, and discussing phase transitions.

Contribution

It provides a gauge/gravity duality analysis of entanglement entropy near cosmological singularities, highlighting geometric and phase transition aspects.

Findings

UV divergent terms relate to geometric properties

Finite entanglement entropy can grow unbounded or stay bounded

Phase transition indicated by entanglement entropy behavior

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.