CURRENT DENSITIES IN A SPACE-TIME-DEPENDENT AND CP-VIOLATING HIGGS BACKGROUND IN THE ADIABATIC LIMIT

Motivated by cosmological applications such as electroweak baryogenesi s, we develop a field theoretic approach to the computation of particl e currents on a space-time-dependent and CP-violating Higgs back-groun d in the adiabatic limit. We consider the standard model with two Higg s doublets and CP violation in the scalar sector, and compute both fer mionic and Higgs currents by means of an expansion in the background f ields describing the profile of the bubble wall. We discuss the gauge dependence of the results and the renormalization of the current opera tors, showing that in the limit of local equilibrium, no extra renorma lization conditions are needed in order to specify the system complete ly.