Wilsonian effective action for SU(2) Yang-Mills theory with Cho-Faddeev-Niemi-Shabanov decomposition
- Holger Gies()
- Tubingen U. and
- CERN
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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 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
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