Magnetic Catalysis of Chiral Symmetry Breaking in Gauge Theories

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Non-perturbative effect of the formation of a chiral symmetry breaking condensate <\barψψ> 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 αin a strong magnetic field. Possible applications of this effect are discussed.
10 pages, Latex file, no figures. Talk given at the Bogolyubov Conference on Problems of Theoretical and Mathematical Physics, Moscow-Dubna-Kiev, 27 Sept - 6 Oct 1999

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