Wilsonian effective action for SU(2) Yang-Mills theory with Cho-Faddeev-Niemi-Shabanov decomposition

Feb, 2001
15 pages
Published in:
  • Phys.Rev.D 63 (2001) 125023
e-Print:

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Abstract:
The Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field is employed for the calculation of the corresponding Wilsonian effective action to one-loop order with covariant gauge fixing. The generation of a mass scale is observed, and the flow of the marginal couplings is studied. Our results indicate that higher-derivative terms of the color-unit-vector n\mathbf{n} field are necessary for the description of topologically stable knotlike solitons which have been conjectured to be the large-distance degrees of freedom.
  • gauge field theory: SU(2)
  • effective action
  • renormalization group
  • coupling: marginal
  • soliton
  • gauge fixing