Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-12-10
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.
Faddeev Ludvig
Niemi Antti J.
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