Faddeev-Niemi Conjecture and Effective Action of QCD

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages

Scientific paper

10.1016/S0370-2693(01)01450-2

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.

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