Catalysis of Dynamical Symmetry Breaking by a Magnetic Field

Details Catalysis of Dynamical Symmetry Breaking by a Magnetic Field Catalysis of Dynamical Symmetry Breaking by a Magnetic Field

1995-11-30

arxiv.org/abs/hep-th/9511224v1

Prog.Theor.Phys.Suppl. 123 (1996) 49-60

Physics

High Energy Physics

High Energy Physics - Theory

Based on a talk given at Yukawa International Seminar'95 "From the Standard Model to Grand Unified Theories",15 pages,Latex

Scientific paper

10.1143/PTPS.123.49

A constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion mass even at the weakest attractive interaction between fermions. The essence of this effect is the dimensional reduction $D/rightarrow D-2$ in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in the Nambu-Jona-Lasinio model and QED. Possible applications of this effect and its extension to inhomogeneous field configurations are discussed.

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