A gauge/gravity duality model for gauge theory thermodynamics

TL;DR

This paper develops a gauge/gravity duality model to analyze the thermodynamics of gauge theories with running couplings, linking gravity fields to the beta function and scalar potential, and explores phase transitions.

Contribution

It introduces a novel gauge/gravity model that incorporates different beta functions to study gauge theory thermodynamics and phase transitions.

Findings

Model captures first order and continuous phase transitions.

Provides semi-analytic solutions for various beta functions.

Links scale dependence to gravitational fields and scalar potential.

Abstract

We study a gauge/gravity model for the thermodynamics of a gauge theory with one running coupling. The gravity side contains an ansatz for the metric and a scalar field, on the field theory side one starts by giving an ansatz for the beta function describing the scale dependence of the coupling. The model is based on relating the scale to the extra dimensional coordinate and the beta function to the gravity fields, thereby also determining the scalar field potential. We study three different forms of beta functions of increasing complexity and give semianalytic solutions describing first order or continuous transitions.