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

2001/02/28 by Holger Gies · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.63.125023

published as Phys.Rev. D63 (2001) 125023 · 15 pages, no figures, v2: minor improvements, one reference added, version to appear in PRD

arxiv created 2001/04/18 · openalex publication_date 2001/05/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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 field are necessary for the description of topologically stable knotlike solitons which have been conjectured to be the large-distance degrees of freedom.

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