SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field

TL;DR

This study examines how external magnetic fields influence the chiral critical temperature of QCD matter using the SU(3) Polyakov linear sigma-model, revealing paramagnetic responses and contrasting effects on $T_c$.

Contribution

It introduces two approaches within the PLSM framework to analyze magnetic effects on $T_c$, highlighting different behaviors of the critical temperature under magnetic fields.

Findings

Paramagnetic response observed in both systems.

One system shows $T_c$ increasing with magnetic field.

The other system shows $T_c$ decreasing with magnetic field.

Abstract

In the present work, we analyse the effects of an external magnetic field on the chiral critical temperature $T_c$ of strongly interacting matter. In doing this, we can characterize the magnetic properties of the quantum chromodynamics (QCD) strong interacting matter, the quark-gluon plasma (QGP). We investigate this in the framework of the SU(3) Polyakov linear sigma-model (PLSM). To this end, we implement two approaches representing two systems, in which the Polyakov-loop potential added to PLMS either renormalized or non-normalized. The effects of Landau quantization on the strongly interacting matter is conjectures to reduce the electromagnetic interactions between quarks. In this case, the color interactions will be dominant and increasing, which - in turn - can be achieved by increasing of the Polyakov-loop fields. Obviously, each of them equips us with a different understanding about the critical temperature under the effect of an external magnetic field. In both systems, we obtain a paramagnetic response. In one system, we find that $T_c$ increases with increasing the magnetic field. In the other one, $T_c$ significantly decreases with increasing the magnetic field.