Partial duality in SU(N) Yang-Mills theory
High Energy Physics - Theory
2009-10-31 v3
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.
Cite
@article{arxiv.hep-th/9812090,
title = {Partial duality in SU(N) Yang-Mills theory},
author = {L. Faddeev and Antti J. Niemi},
journal= {arXiv preprint arXiv:hep-th/9812090},
year = {2009}
}
Comments
small revision