  The definition of the locally covariant Dirac field is adapted such that it
may be charged under a gauge group and in the presence of generic gauge and
Yukawa background fields. We construct renormalized Wick powers and
time-ordered products. It is shown that the Wick powers may be defined such
that the current and the stress-energy tensor are conserved, and the remaining
ambiguity is characterized. We sketch a variant of the background field method
that can be used to determine the renormalization group flow at the one loop
level from the nontrivial scaling of Wick powers.
