Baryon and chiral symmetry breaking in holographic QCD

TL;DR

This paper explores how chiral symmetry breaking influences baryons within holographic QCD, revealing a relationship between the chiral condensate and baryon mass, and showing partial chiral symmetry restoration inside baryons.

Contribution

It constructs a baryon soliton in holographic QCD with a nonzero chiral condensate and analyzes its structure and symmetry properties, providing new insights into baryon dynamics.

Findings

Baryon soliton splits into two halves at large condensate values.

Local quark condensate is suppressed inside the baryon core.

Relation established between chiral condensate and baryon mass.

Abstract

We study the relationship between chiral symmetry breaking and baryons in holographic QCD. We construct a soliton with unit baryon charge in the presence of a nonzero mean value of the scalar bifundamental field, which is dual to the chiral condensate. We obtain a relation between the chiral condensate and the mass of the baryon and find in a clear-cut way that at large values of the condensate the holographic soliton is no longer located on the IR wall. Instead it is split into two halves, which are symmetrically located on the left and right flavor branes. On the other hand we find that the local value of the quark condensate is suppressed in the core of the soliton, which is evidence for a partial chiral symmetry restoration inside the baryon.