Vacuum current induced by an axial-vector condensate and electron anomalous magnetic moment in a magnetic field

In this paper, we consider vacuum polarization effects in the model of charged fermions with anomalous magnetic moment and axial-vector interaction term in a constant and uniform magnetic field. Nontrivial corrections to the effective Lagrangian from the anomalous moment and axial-vector term are calculated with account for various configurations of parameters of the model. An analogue of the chiral magnetic effect in the axial-vector background as well as a vacuum current induced under the combined action of the anomalous magnetic moment of fermions and the axial vector background in a magnetic field is also calculated.