  We consider the gauge theory of Lorentz group coupled in a nonminimal way to
fermions. We suggest the hypothesis that the given theory may exist in the
phase with broken chiral symmetry and without confinement. The lattice
discretization of the model is described. This unusual strongly coupled theory
may appear to be the source of the dynamical electroweak symmetry breaking.
Namely, in this theory all existing fermions interact with the SO(3,1) gauge
field. In the absence of the other interactions the chiral condensate may
appear and all fermionic excitations may acquire equal masses. Small
corrections to the gap equations due to the other interactions may cause the
appearance of the observed hierarchy of masses.
