  In the context of four-fermion and gauge interactions, the Schwinger-Dyson
equation for the fermion self-energy function is studied with the Wilson
fermion on a lattice. We find that the critical line obtained by Bardeen, Leung
and Love is modified. No additional Goldstone bosons appear in the spectrum of
fundamental particles. Massive solutions to the Schwinger-Dyson equation turn
out to be possible for a small gauge coupling.
