Correction to baryon spectrum in holographic QCD

TL;DR

This paper refines the baryon mass spectrum in holographic QCD by calculating first-order corrections using instanton deformations and quantum collective coordinate analysis within the Sakai-Sugimoto-Witten model.

Contribution

It introduces a method to compute subleading corrections to baryon masses by deforming instantons and analyzing quantum collective modes in holographic QCD.

Findings

Derived a first-order correction to baryon mass spectrum.

Provided a new ansatz for instanton deformation.

Quantified the impact of corrections on baryon masses.

Abstract

We study solitons in the context of Sakai-Sugimoto-Witten holographic model of QCD. In the large 't Hooft coupling limit, flat space instantons give an approximate description of baryons. We provide an ansatz through deforming the BPST instanton by zero modes and obtain a subleading correction to the effective action. We also consider the quantum mechanical description of the collective coordinates. The correction term appears as a perturbation to the potential of the Hamiltonian and hence we can derive a first order correction to the mass spectrum of baryons.