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arXiv · hep-th/9511224

Catalysis of Dynamical Symmetry Breaking by a Magnetic Field

V. A. Miransky
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Abstract

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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V. A. Miransky. 1995-11-30. Catalysis of Dynamical Symmetry Breaking by a Magnetic Field. https://doi.org/10.1143/ptps.123.49

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