The pion in the graviton soft-wall model: phenomenological applications

TL;DR

This paper enhances the holographic graviton soft-wall model to better represent QCD features, specifically chiral symmetry, and successfully applies it to calculate pion observables with results aligning well with experimental data.

Contribution

The authors incorporate chiral symmetry realization into the graviton soft-wall model by including longitudinal dynamics, improving its phenomenological accuracy for pion properties.

Findings

Successful calculation of pion observables

Good agreement with experimental data

Enhanced model captures chiral symmetry features

Abstract

The holographic graviton soft-wall model, introduced to describe the spectrum of scalar and tensor glueballs, is improved to incorporate the realization of chiral-symmetry as in QCD. Such a goal is achieved by including the longitudinal dynamics of QCD into the scheme. Using the relation between AdS/QCD and Light-Front dynamics, we construct the appropriate wave function for the pion which is used to calculate several pion observables. The comparison of our results with phenomenology is remarkably successful.