Faddeev-Niemi conjecture and effective action of QCD

May, 2001
6 pages
Published in:
  • Phys.Lett.B 525 (2002) 347-354
e-Print:

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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.
  • 12.38.-t
  • 11.15.-q
  • 12.38.Aw
  • 11.10.Lm
  • gauge field theory: SU(2)
  • effective action
  • monopole: background field
  • sigma model: nonlinear
  • infrared problem
  • causality