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arXiv · hep-th/9711016

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

V. P. Gusynin·D. K. 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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V. P. Gusynin, D. K. Hong, I. A. Shovkovy. 1997-11-04. Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions. https://doi.org/10.1103/physrevd.57.5230

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