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.
Highlights
It has been a long-standing quest of the heavy ion collision community to explore the phase diagram of QCD
A similar plot for a thermal QCD medium and zero chemical potential was obtained in Ref. [13]
We note that the increase of the chiral susceptibility in the low temperature region does not indicate the chiral phase transition
Summary
Production of a magnetic field in noncentral heavy ion collisions has added a new dimension to the understanding of QCD matter This extremely strong magnetic field is created by the spectator particles in a direction perpendicular to the reaction plane. Several lattice studies [40] have found the opposite nature i.e., the decrease in phase transition temperature at least for small magnetic fields This effect has been named as inverse magnetic catalysis. The QCD matter cools down after the collision and undergoes the chiral phase transition at a temperature around 160 MeV In this region the effect of a weak magnetic field is important. In this paper we, considering a recently obtained effective quark propagator in the presence of a weak magnetic field [44], determine the chiral susceptibility with finite chemical potential in the QCD medium using HTL approximation.
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