Eur. Phys. J. C 20, 717-721 (2001)
DOI: 10.1007/s100520100667

Abelian decomposition of SO(2N) Yang-Mills theory

W.-C. Su

Department of Physics, National Chung-Cheng University, Chia-Yi, Taiwan

(Received: 22 November 2000 / Published online: 8 June 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)

Abstract
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.

© Società Italiana di Fisica, Springer-Verlag 2001