  We propose a model of dynamical symmetry breaking, in which a new type of
fundamental scalar fields of zero mass-dimension mediate the couplings of
fermions to the gravitational field, represented here as a tetrad field in the
same manner as Riemann-Cartan gravity. In our model, the tetrad couples to the
standard model fermions non-minimally, and the very coupling coefficients are
the fundamental scalar fields. There are exactly 36 scalar fields in the model,
which are distinguishable by flavor indices on the fields. This is the precise
number of zero dimension scalar fields that leads to a vanishing Weyl anomaly
and a vanishing vacuum energy. Precisely the same number of these very same
scalar fields is required for the coupling of all of the different standard
model fermions to the vielbein field. At the same time their interaction with
fermions gives rise to fermion mass terms, without the need to introduce a
fundamental Higgs field. Within the proposed theory we construct a toy model
that deals solely with the top and bottom quarks, and we demonstrate that their
observable masses can appear in the action dynamically. Moreover, this
mechanism allows for the top and bottom quarks to acquire distinctly different
masses, as opposed to our previous, even simpler toy model that contained only
the top quark.
