Chiral transition and meson melting with finite chemical potential in an improved soft-wall AdS/QCD Model

TL;DR

This paper explores the chiral transition and meson melting at finite chemical potential using an improved soft-wall AdS/QCD model, providing qualitative insights but highlighting the need for a more dynamical background for quantitative accuracy.

Contribution

It extends the soft-wall AdS/QCD model to study finite chemical potential effects on chiral transition and meson melting, identifying limitations of the current background geometry.

Findings

Qualitatively describes chiral transition behaviors at finite chemical potential.

Analyzes in-medium meson melting properties.

Identifies limitations of the non-dynamical background geometry.

Abstract

We give a further study on the improved soft-wall AdS/QCD model with two flavors. The chiral transition behaviors are studied in the case of finite chemical potential, with the chiral phase diagram obtained at zero quark mass. The thermal spectral functions of the vector and axial-vector mesons are calculated, and the in-medium melting properties of the mesons are investigated. We find that the chiral transition behaviors and the meson melting properties at finite chemical potential can be qualitatively described by the improved soft-wall AdS/QCD model, except in the region of large chemical potential. The reason for these inadequate descriptions may be that the background geometry adopted in the model is not a dynamical one which is able to produce the QCD equation of state. To give a quantitative description for these low-energy phenomenologies, we shall consider a more consistent AdS/QCD model which treats the background fields and the chiral fields on the same footing.