Chiral magnetic effect in the Polyakov–Nambu–Jona-Lasinio model

Abstract

We study the two-flavor Nambu--Jona-Lasinio model with the Polyakov loop in the presence of a strong magnetic field and a chiral chemical potential ${\ensuremath{\mu}}_{5}$, which mimics the effect of imbalanced chirality due to QCD instanton and/or sphaleron transitions. First, we focus on the properties of chiral symmetry breaking and deconfinement crossover under the strong magnetic field. Then we discuss the role of ${\ensuremath{\mu}}_{5}$ 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.