Decomposition of SU(N) connection and Effective Theory of SU(N) QCD

Sheng Li, Yong Zhang, Zhongyuan Zhu

Published 1999-11-17, updated 2000-04-05Version 2

We give a general decomposition of SU(N) connection and derive a generalized Skyrme-Faddeev action as the effective action of SU(N) QCD in the low energy limit. The result is obtained by separating the topological degrees which describes the non-Abelian monopoles from the dynamical degree of gauge potential, and integrating all the dynamical degrees of SU(N) QCD.