Abelian Decomposition of SO(2N) Yang-Mills Theory

Details Abelian Decomposition of SO(2N) Yang-Mills Theory Abelian Decomposition of SO(2N) Yang-Mills Theory

2000-08-11

arxiv.org/abs/hep-th/0008093v1

Eur.Phys.J.C20:717-721,2001

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figure

Scientific paper

10.1007/s100520100667

Faddeev and Niemi have proposed a decomposition of SU(N) Yang-Mills theory in terms of new variables, appropriate for describing the theory in the infrared limit. We extend this method to SO(2N) Yang-Mills theory. We find that the SO(2N) connection decomposes according to irreducible representations of SO(N). The low energy limit of the decomposed theory is expected to describe soliton-like configurations with nontrivial topological numbers. How the method of decomposition generalizes for $SO(2N+1)$ Yang-Mills theory is also discussed.

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