Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions
V. P. Gusynin (Bogolyubov Institute for Theoretical Physics), D. K., Hong (Pusan University), and I. A. Shovkovy (Bogolyubov Institute for, Theoretical Physics & University of Cincinnati)
TL;DR
This paper explores how a constant non-Abelian external field influences chiral symmetry breaking in (2+1)-dimensional models, revealing that it induces symmetry breaking in the NJL model but not in 3D QCD.
Contribution
It provides a comparative analysis of chiral symmetry breaking under external fields in NJL and 3D QCD models using multiple theoretical approaches.
Findings
Chiral symmetry breaking occurs at any weak coupling in the NJL model.
External non-Abelian fields do not catalyze symmetry breaking in 3D QCD.
Different behaviors of symmetry breaking are confirmed through gap, Bethe-Salpeter equations, and RG analysis.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.