Chiral magnetic effect in the PNJL model

TL;DR

This paper investigates the impact of strong magnetic fields and chiral chemical potential on chiral symmetry breaking, deconfinement, and the Chiral Magnetic Effect within the two-flavor PNJL model, revealing detailed phase structure and charge transport properties.

Contribution

It introduces the effects of magnetic fields and chiral chemical potential into the PNJL model to study phase transitions and the Chiral Magnetic Effect in QCD-like matter.

Findings

Magnetic field influences chiral symmetry breaking and deconfinement crossover.

Chiral chemical potential affects the phase structure and induces electric currents.

Computed charge and current susceptibilities relevant to the Chiral Magnetic Effect.

Abstract

We study the two-flavor Nambu--Jona-Lasinio model with the Polyakov loop (PNJL model) in the presence of a strong magnetic field and a chiral chemical potential $\mu_5$ which mimics the effect of imbalanced chirality due to QCD instanton and/or sphaleron transitions. Firstly we focus on the properties of chiral symmetry breaking and deconfinement crossover under the strong magnetic field. Then we discuss the role of $\mu_5$ on the phase structure. Finally the chirality charge, electric current, and their susceptibility, which are relevant to the Chiral Magnetic Effect, are computed in the model.