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

In the previous paper, we generalized the method of Abelian decomposition t o the case of SO(N) Yang-Mills theory. This method that was proposed by Fad deev and Niemi introduces a set of variables for describing the infrared li mit of a Yang-Mills theory. Here, we extend the decomposition method furthe r to the general case of four-dimensional Sp(2N) Yang-Mills theory. We find that the Sp(2N) connection decomposes according to irreducible representat ions of SO(N). (C) 2001 Published by Elsevier Science B.V.