Chiral susceptibility in dense thermo-magnetic QCD medium within HTL approximation

TL;DR

This paper calculates the chiral susceptibility in a dense, thermomagnetic quark-gluon plasma using the HTL approximation, revealing that magnetic effects are minimal compared to thermal and chemical potential influences.

Contribution

It provides an analytic expression for chiral susceptibility in a thermomagnetic medium within the HTL approximation, incorporating finite chemical potential and weak magnetic field effects.

Findings

Chiral susceptibility increases with chemical potential in the absence of magnetic field.

Thermomagnetic corrections are marginal at weak magnetic fields due to temperature dominance.

Analytic expression derived for chiral susceptibility in a thermomagnetic medium.

Abstract

We have computed the chiral susceptibility in quark-gluon plasma in presence of finite chemical potential and weak magnetic field within hard thermal loop approximation. First we construct the massive effective quark propagator in a thermomagnetic medium. Then we obtain completely analytic expression for the chiral susceptibility in weak magnetic field approximation. In the absence of magnetic field the thermal chiral susceptibility increases in presence of finite chemical potential. The effect of thermomagnetic correction is found to be very marginal as temperature is the dominant scale in weak field approximation.