Baryon as dyonic instanton-II. Baryon mass versus chiral condensate

TL;DR

This paper models baryons as dyonic instantons within holographic QCD, incorporating meson towers and chiral condensate effects, and explores how baryon mass relates to chiral symmetry breaking.

Contribution

It introduces a generalized dyonic instanton solution that includes infinite meson towers and explains the Ioffe's formula within holographic QCD.

Findings

Baryon mass depends on the chiral condensate.

The solution generalizes the Skyrmion with additional mesonic effects.

An elegant explanation of Ioffe's formula is provided.

Abstract

We discuss the description of baryon as the dyonic instanton in holographic QCD. The solution generalizes the Skyrmion taking into account the infinite tower of vector and axial mesons as well as the chiral condensate. We construct the solution with unit baryon charge and study the dependence of its mass on the chiral condensate. The elegant explanation of the Ioffe's formula has been found and we speculate on the relation between physical scales of the chiral and conformal symmetry breaking.