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

Holger Gies
Phys. Rev. D 63, 125023 – Published 22 May 2001
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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 field are necessary for the description of topologically stable knotlike solitons which have been conjectured to be the large-distance degrees of freedom.

  • Received 6 February 2001

DOI:https://doi.org/10.1103/PhysRevD.63.125023

©2001 American Physical Society

Authors & Affiliations

Holger Gies*

  • Institut für Theoretische Physik, Universität Tübingen, D-72076 Tübingen, Germany
  • Theory Division, CERN, CH-1211 Geneva, Switzerland

  • *Email address: holger.gies@cern.ch

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Issue

Vol. 63, Iss. 12 — 15 June 2001

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