Faddeev-Niemi Conjecture and Effective Action of QCD

TL;DR

This paper computes the one-loop effective action of SU(2) QCD with monopole backgrounds, suggesting a link to a generalized Skyrme-Faddeev model, using a gauge-independent decomposition of the gauge potential.

Contribution

It introduces a gauge-independent method to derive the QCD effective action in monopole backgrounds and connects it to a non-linear sigma model.

Findings

Derived a one-loop effective action for SU(2) QCD with monopoles

Established a possible connection to the Skyrme-Faddeev model

Used gauge-independent decomposition to isolate topological and dynamical degrees

Abstract

We calculate a one loop effective action of SU(2) QCD in the presence of the monopole background, and find a possible connection between the resulting QCD effective action and a generalized Skyrme-Faddeev action of the non-linear sigma model. The result is obtained using the gauge-independent decomposotion of the gauge potential into the topological degrees which describes the non-Abelian monopoles and the local dynamical degrees of the potential, and integrating out all the dynamical degrees of QCD.