  We consider the dynamics of the 1+1 dimensional abelian Higgs model with
axially coupled fermions, in the large N_f limit, on a lattice in space and
real-time. We allow for inhomogeneous classical Bose fields. In order to deal
with the lattice doublers, we use Wilson's lattice fermions. The lattice
formulation leads to a stable integration algorithm. We demonstrate the
practical implementation with numerical results.
