Vacuum polarization in the model of dirac fermions with an anomalous magnetic moment that interact with a background axial-vector condensate and magnetic field

Vacuum polarization is considered in a model that takes the anomalous magnetic moment (AMM) of Dirac fermions in a uniform magnetic field in the presence of an additional axial-vector interaction into account. Corrections to the effective Lagrangian of the model that are quadratic with respect to the AMM and axial-vector interaction in different configurations of the given model parameters are calculated.