Decomposition of SU(N) connection and Effective Theory of SU(N) QCD
Sheng Li, Yong Zhang, Zhongyuan Zhu
TL;DR
This paper decomposes SU(N) connections to derive a generalized Skyrme-Faddeev effective action for SU(N) QCD, highlighting topological monopoles and dynamical gauge degrees in the low energy limit.
Contribution
It introduces a novel decomposition of SU(N) connections and derives an effective low-energy theory incorporating topological monopoles.
Findings
Derivation of a generalized Skyrme-Faddeev action for SU(N) QCD.
Separation of topological monopoles from dynamical gauge fields.
Effective theory captures low-energy behavior of SU(N) QCD.
Abstract
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.
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