Chiral Symmetry Restoration in Holographic Noncommutative QCD

TL;DR

This paper explores how space noncommutativity affects chiral symmetry restoration in a holographic QCD model, revealing modifications in critical temperature and chemical potential, and identifying a phase with deconfined gluons but broken chiral symmetry.

Contribution

It introduces a noncommutative deformation of the Sakai--Sugimoto model and analyzes its impact on chiral symmetry restoration and phase structure at finite temperature and chemical potential.

Findings

Critical temperature is modified by space noncommutativity.

Critical chemical potential is affected by noncommutativity.

A phase with deconfined gluons and broken chiral symmetry is identified.

Abstract

We consider the noncommutative deformation of the Sakai--Sugimoto model at finite temperature and finite baryon chemical potential. The space noncommutativity is possible to have an influence on the flavor dynamics of the QCD. The critical temperature and critical value of the chemical potential are modified by the space noncommutativity. The influence of the space noncommutativity on the flavor dynamics of the QCD is caused by the Wess--Zumino term in the effective action of the D8-branes. The intermediate temperature phase, in which the gluons deconfine but the chiral symmetry remains broken, is easy to be realized in some region of the noncommutativity parameter.