  We study the generation of an electric current, along the external magnetic
field, of fermions, interacting by parity violating electroweak forces with
background matter. First, we discuss the situation of massive particles with
nonzero anomalous magnetic moments. We show that the induced current is
vanishing for such particles in the state of equilibrium. Then, the case of
massless fermions is studied. We demonstrate that the contribution of the
electroweak interaction is washed out from the expression for the current,
which turns out to coincide with the prediction of the chiral magnetic effect.
Our results are compared with findings of other authors.

High Energy Physics - Phenomenology;High Energy Physics - Theory