Partial duality in SU(N) Yang-Mills theory

Details Partial duality in SU(N) Yang-Mills theory Partial duality in SU(N) Yang-Mills theory

1998-12-10

arxiv.org/abs/hep-th/9812090v3

Phys.Lett. B449 (1999) 214-218

Physics

High Energy Physics

High Energy Physics - Theory

small revision

Scientific paper

10.1016/S0370-2693(99)00100-8

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.

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