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

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 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 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.