Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions
High Energy Physics - Theory
2009-10-30 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9711016,
title = {Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions},
author = {V. P. Gusynin and D. K. Hong and I. A. Shovkovy},
journal= {arXiv preprint arXiv:hep-th/9711016},
year = {2009}
}
Comments
11 pages, RevTeX