Phase transition of AdS Schwarzschild black hole and gauge theory dual in presence of external string cloud

TL;DR

This paper investigates the thermodynamics and phase transitions of AdS-Schwarzschild black holes with an external string cloud, revealing stability conditions, phase transitions, and implications for quark-antiquark bound states in the dual gauge theory.

Contribution

It introduces the analysis of black hole thermodynamics with an external string cloud and explores phase transitions and stability in the dual gauge theory context.

Findings

Black hole configuration remains stable with non-zero entropy at all temperatures.

Existence of multiple black hole phases depending on string cloud density and temperature.

Critical temperature induces a transition that suggests quark-antiquark bound state instability.

Abstract

We study the thermodynamics of AdS-Schwarzschild black hole in the presence of an external string cloud. We observe that, at any temperature, the black hole configuration is stable with non-zero entropy. We further notice that, when the value of the curvature constant equals to one, if the string cloud density has less than a critical value, within a certain range of temperature three black holes configuration exist. One of these black holes is unstable and other two are stable. At a critical temperature, a transition between these two stable black holes takes place which leads us to conclude that the bound state of quark and anti-quark pairs may not exist. By studying the corresponding dual gauge theory we confirm that the instability of the bound state of quark and anti-quark pair in the dual gauge theory.