Chiral susceptibility in a dense thermomagnetic QCD medium within the hard thermal loop approximation

Abstract

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