The Thermodynamics of a 5D Gravity-Dilaton-Tachyon Solution

TL;DR

This paper develops a finite-temperature holographic model with scalar fields representing gluon and chiral operators, analyzing thermal properties and phase transitions in a 4D gauge theory using a 5D gravity-dilaton-tachyon framework.

Contribution

It introduces a novel 5D gravity-dilaton-tachyon model with a soft-wall geometry and provides a series solution for black-hole configurations, linking scalar fields to thermal properties of gauge theories.

Findings

Identifies a phase transition at T_c ~ 900 MeV.

Shows thermal condensates influence the speed of sound and entropy.

Phase transition depends on nonzero thermal condensates.

Abstract

We propose a finite-temperature holographic model with a soft-wall geometry that incorporates two scalar fields, dual to the gluon and chiral operators. A series solution is presented as the dynamical, black-hole solution to Einstein's equations. We use the solution to calculate the thermal properties of the corresponding 4D gauge theory. Gluon and chiral thermal condensates contribute leading-order terms that affect the speed of sound through and entropy of the 4D thermal medium. At a temperature $T_c\sim 900$ MeV, we find a phase transition, which is much higher than lattice QCD calculations. However, the transition only exists with nonzero thermal condensates.