Magnetic Catalysis of Chiral Symmetry Breaking in Gauge Theories

Abstract

Non-perturbative effect of the formation of a chiral symmetry breaking condensate <> and of a dynamically generated fermion mass in QED in the presence of an external magnetic field is considered. The dynamical mass of a fermion (energy gap in the fermion spectrum) is shown to depend essentially nonanalytically on the renormalized coupling constant α in a strong magnetic field. Possible applications of this effect are discussed.

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