Pseudoscalar Mass Spectrum in a Soft-Wall Model of AdS/QCD

TL;DR

This paper investigates the pseudoscalar mass spectrum within a modified soft-wall AdS/QCD model, demonstrating good agreement with experimental pion masses and deriving the Gell-Mann--Oakes--Renner relation naturally.

Contribution

It introduces a modified soft-wall AdS/QCD model with independent sources for chiral symmetry breaking and confinement, analyzing the pseudoscalar spectrum and confirming theoretical relations.

Findings

Good agreement with pion mass data

Equivalence of different pion field representations

Natural derivation of Gell-Mann--Oakes--Renner relation

Abstract

The Anti-de Sitter Space/Conformal Field Theory (AdS/CFT) correspondence may offer new and useful insights into the non-perturbative regime of strongly coupled gauge theories such as Quantum Chromodynamics (QCD). Recently a modified soft-wall AdS/QCD model incorporated independent sources for explicit and spontaneous chiral symmetry breaking and linear confinement. This model contains a modified dilaton and higher-order interaction terms in the Lagrangian. Within this model we explore the radial pseudoscalar mass spectrum using two different representations of the pion field. We find the mass eigenvalues associated with each representation, show the equivalence between the two, and find good agreement with the pion masses. The Gell-Mann--Oakes--Renner relation is naturally obtained.