Holographic Entanglement Entropy and Confinement

TL;DR

This paper investigates the phase transition in holographic entanglement entropy within confining models, analyzing how the critical strip width correlates with physical scales like glueball mass and deconfinement temperature.

Contribution

It explores the dependence of the critical entanglement entropy width on model parameters and compares it with other physical scales, revealing close relationships.

Findings

Critical width correlates with deconfinement temperature.

Critical width closely follows glueball mass.

String tension behavior is similar to critical width.

Abstract

We study the phase transition in the holographic entanglement entropy for various confining models. This transition occurs for the entanglement entropy of a strip at a critical value of the strip width. Our main interest is to examine the critical width for models with several parameters. For these models, the critical width, the glueball mass and the string tension all become functions of these two parameters. Comparing the behavior of the critical width in the entanglement entropy and these other scales, we find that $l_c$ seems to follow closely the deconfinement temperature and the glueball mass. The behavior of the string tension is similar to $l_c$, despite of being parametrically smaller than the other quantities.