  In a quantum electrodynamics theory that is realized by critical scaling and
anomalous dimensions, the action is not chiral invariant and there are no
dynamical Goldstone or Higgs boson bound states. In the mean-field
approximation to a chiral invariant four-fermion theory the associated
mean-field sector action is not chiral invariant either and it also possesses
no dynamical bound states, with Goldstone and Higgs bosons instead being
generated by an accompanying four-fermion residual interaction. In this paper
we show that if a critical scaling electrodynamics in which the dimension
$d_{\theta}$ of $\bar{\psi}\psi$ is reduced from three to two is augmented with
a four-fermion interaction, precisely because it possesses no dynamical bound
states the electrodynamic sector can be reinterpreted as a mean-field
approximation to a larger theory that is chiral symmetric. And with
$d_{\theta}=2$ we show in this larger theory there is a residual interaction
that then does generate dynamical Goldstone and Higgs bosons in scattering
amplitudes that are completely finite. While the dynamically generated
Goldstone boson is massless, the dynamically induced Higgs boson is found to be
a narrow resonance just above threshold, with its width being a diagnostic that
could potentially enable one to distinguish between a dynamical Higgs boson and
an elementary one.
