ELECTRODYNAMICS OF SYSTEMS WITH DYNAMIC GENERATION OF MASS IN (2-DIMENSIONAL SPACE-TIME(1))

The behavior of three-dimensional fermionic and bosonic models with dy namical generation of mass in an intense electromagnetic field is stud ied. It is shown that the action of a magnetic field on the dynamical mass of a fermion is closely related to the chiral properties of the f ermion model. In particular, for the chirally invariant Gross-Neveu mo del a magnetic field always induces a transition to a chirally noninva riant phase, in which the dynamical mass of the fermion is determined by the intensity of the external field. It is also shown that in an ex tended CP(N - 1) model a magnetic field leads to the formation of a co ndensate of the dynamical Abelian field in the vacuum, and polarizes t he vacuum of the neutral bosons.