Partial duality in SU(N) Yang-Mills theory

Preprint

8 January 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9812090

Abstract

Recently we have proposed a set of variables for describing the infrared limit of four dimensional SU(2) Yang-Mills theory. here we extend these variables to the general case of four dimensional SU(N) Yang-Mills theory. We find that the SU(N) connection A decomposes according to irreducible representations of SO(N-1) and the curvature two-form F is related to the symplectic Kirillov two forms that characterize irreducible representations of SU(N). We propose a general class of nonlinear chiral models that may describe stable, soliton-like configurations with nontrivial topological numbers.

Keywords

IRREDUCIBLE REPRESENTATIONS
YANG MILLS THEORY
PARTIAL DUALITY
DIMENSIONAL SU
SOLITON
CHIRAL

All Related Versions

Version 1, 1998-12-10, ArXiv
Version 2, 1998-12-11, ArXiv
Version 3, 1999-01-08, ArXiv
Published version: Physics Letters B, 449 (3-4), 214.

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