Abstract
The critical behavior of some of the simplest (2+1) -dimensional field-theoretic models with four-fermion interaction at nonzero temperature, chemical potential, and external gauge fields is studied. It is shown that an external magnetic field catalyzes spontaneous symmetry breaking. The chromomagnetic gluon condensate in QCD 3 can also spontaneously break chiral symmetry. The thermodynamics of these effects is studied in detail. The conditions under which superconducting phase transitions and also dynamical generation of a Chern–Simons term are possible in three-dimensional models of the Gross–Neveu type are derived.
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