Remarks on Abelian dominance

Tamás G. Kovács, Zsolt Schram

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Abstract

We use a renormalization group based smoothing to address two questions related to Abelian dominance. Smoothing drastically reduces short distance fluctuations but it preserves the long distance physical properties of the SU(2) configurations. This enables us to extract the Abelian heavy-quark potential from timelike Wilson loops on Polyakov gauge-projected configurations. We obtain a very small string tension which is inconsistent with the string tension extracted from Polyakov loop correlators. This shows that the Polyakov gauge-projected Abelian configurations do not have a consistent physical meaning. We also apply the smoothing on SU(2) configurations to test how sensitive Abelian dominance in the maximal Abelian gauge is to the short distance fluctuations. We find that on smoothed SU(2) configurations the Abelian string tension was about 30% smaller than the SU(2) string tension which was unaffected by smoothing. This suggests that the approximate Abelian dominance found with the Wilson action is probably an accident and it has no fundamental physical relevance.

Original languageEnglish
Pages (from-to)6824-6828
Number of pages5
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume56
Issue number11
DOIs
Publication statusPublished - Jan 1 1997

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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