  We pursue further an approach to lattice chiral fermions in which the
fermions are treated in the continuum. To render the effective action gauge
invariant, counterterms have to be introduced. We determine the counterterms
for smooth gauge fields, both analytically and numerically. The final result is
that the imaginary part of the effective action can be computed analytically
from the lattice gauge field, while the real part is given by one half of the
action of the corresponding vector model.
