(
A)
) and axial vector (
(5B)) interactions, i.e., with two types of vector gauge fields, which corresponds to the local nature of the complete massless-fermion symmetry group U(1)
UA(1). We present a phenomenological model with spontaneous symmetry breaking through which the fermion and the axial vector field B
acquire masses. Based on an approximate solution of the Dyson equation for the fermion mass operator, we demon-
strate the phenomenon of dynamical chiral symmetry breaking when the field B
has mass. We show the pos-sibility of eliminating the axial anomalies in the model under consideration when introducing other types of
fermions (quarks) within the standard-model fermion generations. We consider the polarization operator for the
field B
and the procedure for removing divergences when calculating it. We demonstrate the emergence of a mass pole in the propagator of the particles that correspond to the field B
when chiral symmetry is broken and consider the problems of regularizing closed fermion loops with axial vector vertices in connection with chiral
symmetry breaking. © 2004 MAIK “Nauka/Interperiodica”.