A Refined Holographic QCD Model and QCD Phase Structure

TL;DR

This paper develops a refined holographic QCD model using Einstein-Maxwell-dilaton systems, deriving analytic solutions and analyzing the phase structure to better understand QCD phenomena.

Contribution

It introduces a new analytic solution family for the Einstein-Maxwell-dilaton system and applies it to a holographic QCD model with a fixed kinetic gauge function.

Findings

The model reproduces linear Regge trajectories for mesons.

The phase diagram of the holographic QCD model is mapped out.

Analytic solutions facilitate understanding of QCD phase transitions.

Abstract

We consider the Einstein-Maxwell-dilaton system with an arbitrary kinetic gauge function and a dilaton potential. A family of analytic solutions is obtained by the potential reconstruction method. We then study its holographic dual QCD model. The kinetic gauge function can be fixed by requesting the linear Regge spectrum of mesons. We calculate the free energy to obtain the phase diagram of the holographic QCD model.