Holographic chiral phase transition with chemical potential

TL;DR

This paper investigates the phase structure of a holographic QCD model at finite temperature and chemical potential, revealing a first-order chiral symmetry phase transition using the Sakai-Sugimoto model.

Contribution

It introduces a method to incorporate chemical potential into the holographic model and analyzes the resulting phase transition in large N_c QCD.

Findings

Identifies a first-order chiral phase transition at finite chemical potential.

Proposes a holographic interpretation of chemical potential via gauge field asymptotics.

Analyzes the phase diagram of the Sakai-Sugimoto model under these conditions.

Abstract

We discuss the Sakai-Sugimoto model at finite temperature and finite chemical potential. It is a holographic model of large N_c QCD with N_f massless quarks based on a D4/D8-\bar{D8} brane system. The near horizon limit of the D4-branes and the probe approximation of the D8-\bar{D8} pairs allow us to treat the D4-branes as a gravitational background and the D8-\bar{D8} pairs as a probe which does not affect the background. We propose that the asymptotic value of a U(1) gauge field on the D8-\bar{D8}-branes is identified with the chemical potential for the baryon number. Using this chemical potential we analyze the phase structure of this model and find a chiral symmetry phase transition of the first order.