Gluon Condensation at Finite Temperature via AdS/CFT

TL;DR

This paper investigates gluon condensation at finite temperature using AdS/CFT, revealing conditions under which GC is allowed or forbidden, and exploring its thermodynamic implications and the role of singularities and phase transitions.

Contribution

It demonstrates that gluon condensation is forbidden at high temperature with a regular horizon but can occur when gravity back-reaction causes singularities, advancing understanding of GC in holographic models.

Findings

Gluon condensation is forbidden at high temperature with a regular horizon.

Gravity back-reaction can induce singularities allowing non-zero gluon condensation.

The study links gluon condensation to thermodynamic properties and phase transitions.

Abstract

We consider gluon condensation (GC) at finite temperature using AdS/CFT. We first show that in the presence of regular horizon, the GC is forbidden in high temperature. Then we consider gravity back-reaction to dilaton coupling and show that the back-reaction develops an singularity, and non-vanishing value of gluon condensation is allowed. We also study thermodynamic quantities and the trace anomaly in the presence of the GC. We discuss how to define a temperature in the presence of the singularity which forbids Hawking temperature. Finally we describe the thermodynamics of the gluon condensation including the effect of the Hawking-Page transition.