Magnetic Catalysis of Dynamical Symmetry Breaking and Aharonov-Bohm Effect

Abstract

The phenomenon of the magnetic catalysis of dynamical symmetry breaking is based on the dimensional reduction $D\to D-2$ in the dynamics of fermion pairing in a magnetic field. We discuss similarities between this phenomenon and the Aharonov-Bohm effect. This leads to the interpretation of the dynamics of the (1+1)-dimensional Gross-Neveu model with a non-integer number of fermion colors as a quantum field theoretical analogue of the Aharonov-Bohm dynamics.

Comments: 8 pages, RevTex. Based on the talk given at the Workshop ``Nonperturbative Methods in Quantum Field Theory'' (February 1998, Adelaide). A reference is added