The effective equations of motion for low-frequency mean gauge fields in the
Abelian Higgs model are investigated in the presence of a scalar condensate,
near the high temperature equilibrium. We determine the current induced by an
inhomogeneous background gauge field in the linear response approximation up to
order e4, assuming adiabatic variation of the scalar fields. The physical
degrees of freedom are found and a physical gauge choice for the numerical
study of the combined Higgs+gauge evolution is proposed.Comment: 11 pages, latex, no figure