1998•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Chiral symmetry breaking by a non-Abelian external field in 2+1 dimensions

V. P. Gusynin, Deog Ki Hong, I. A. Shovkovy

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Abstract

We investigate the effect of a constant external non-Abelian field on chiral symmetry breaking in a (2+1)-dimensional Nambu--Jona-Lasinio model and in 3D QCD by solving the gap equation and the Bethe-Salpeter equation, and also by RG analysis. In the (2+1)-dimensional NJL model chiral symmetry breaking occurs for any weak coupling constant but in 3D QCD catalysis of chiral symmetry breaking does not occur.

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Key concepts: Chiral symmetry breaking, Physics, Nambu–Jona-Lasinio model, Spontaneous symmetry breaking, Symmetry breaking, Quantum chromodynamics, Chiral anomaly, Coupling constant