Faddeev–Niemi conjecture and effective action of QCD
Y.M. ChoDepartment of Physics, College of Natural Sciences, Seoul National University, Seoul 151-742, South KoreaH.W. LeeDepartment of Physics, College of Natural Sciences, Chungbuk University, Chungju, South KoreaD. G. PakAsia Pacific Center for Theoretical Physics, 207-43 Cheongryangri-dong, Dongdaemun-gu, Seoul 130-012, South Korea
ABI
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 decomposition 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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