  The first principle derivation of kinetic transport equations suggests that a
CP-violating mass term during the electroweak phase transition can induce axial
vector currents. Since the important terms are of first order in gradients
there is a possibility to construct new rephasing invariants that are
proportional to the CP phase in the Cabibbo-Kobayashi-Maskawa matrix and to
circumvent the upper bound of CP-violating contributions in the Standard Model,
the Jarlskog invariant. Qualitative arguments are given that these new
contributions still fail to explain electroweak baryogenesis in extensions of
the Standard Model with a strong first order phase transition.
