  The strongly coupled lattice gauge models show an interesting mechanism of
dynamical mass generation. If a suitable continuum limit can be found, one may
think of it as an alternative to the Higgs mechanism. We present data on the
spectrum, obtained in the model with U(1) gauge symmetry with dynamical
fermions. They indicate that the fermion mass scales in the vicinity of the
whole chiral phase transition line. In contrast to this, the composite scalar
boson mass seems to get small only in the region near the endpoint E of the
Higgs phase transition. Thus this point is the most interesting candidate for
approaching the continuum limit. The masses of fermion--antifermion bound
states are also discussed.
