Soft wall model with inverse exponential profile as a model for the axial and pseudoscalar mesons

TL;DR

This paper proposes a soft-wall AdS/QCD model with an inverse exponential profile to better describe axial and pseudoscalar mesons, aiming for a more consistent representation of chiral symmetry breaking within a free 5D theory.

Contribution

It introduces a novel soft-wall model with an inverse exponential profile to improve the description of mesons and chiral symmetry breaking in gauge/gravity duality.

Findings

The model successfully describes axial and pseudoscalar mesons.

It offers a more consistent approach to chiral symmetry breaking.

The inverse exponential profile enhances the model's physical relevance.

Abstract

According to the conjecture of the gauge/gravity duality a strongly coupled 4D field theory may be described by a dual 5D theory which is a free field theory in the first approximation. The usual description of the axial-vector sector in the bottom-up AdS/QCD models includes, however, the quartic interaction with a bulk scalar field. The question appears whether it is possible to describe some aspects of the chiral symmetry breaking in a way more consistent with the original proposal, i.e. within a free 5D theory? We suggest that a natural candidate for this purpose is the soft-wall model with inverse exponential profile.