  We investigate a strongly coupled U(1) gauge theory with fermions and scalars
on the lattice and analyze whether the continuum limit might be a
renormalizable theory with dynamical mass generation. Most attention is paid to
the phase with broken chiral symmetry in the vicinity of the tricritical point
found in the model. There we investigate the scaling of the masses of the
composite fermion and of some bosonic bound states. As a by-product we confirm
the mean-field exponents at the endpoint in the U(1)-Higgs model, by analyzing
the scaling of the Fisher zeros.
