Partial duality in SU(N) Yang-Mills theory

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  • 10 December 1998
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.

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