  Gravitation theory meets spontaneous symmetry breaking when the structure
group of the principal linear frame bundle $LX$ over a world manifold $X^4$ is
reducible to the Lorentz group $SO(3,1)$. The physical underlying reason of
this reduction is Dirac fermion matter possessing only exact Lorentz
symmetries. The associated Higgs field is a tetrad gravitational field $h$
represented by a section of the quotient $\Si$ of $LX$ by $SO(3,1)$. The
feature of gravity as a Higgs field issues from the fact that, in the presence
of different tetrad fields, there are nonequivalent representations of
cotangent vectors to $X^4$ by Dirac's matrices. It follows that fermion fields
must be regarded only in a pair with a certain tetrad field. These pairs
constitute the so-called fermion-gravitation complex and are represented by
sections of the composite spinor bundle $S\to\Si\to X^4$ where values of tetrad
gravitational fields play the role of coordinate parameters, besides familiar
world coordinates. In Part I of the work [gr-qc:9405013], geometry of this
composite spinor bundle has been investigated. This Part is devoted to dynamics
of the fermion-gravitation complex. It is a constraint system to describe which
we use the covariant multimomentum Hamiltonian formalism when canonical momenta
correspond to derivatives of fields with respect to all world coordinates, not
only time. On the constraint space, the canonical momenta of tetrad
gravitational fields are equal to zero, otherwise in the presence of fermion
fields.
