Remarks on Abelian dominance

T. Kovács, Zsolt Schram

Research output: Contribution to journalArticle

6 Citations (Scopus)

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
Publication statusPublished - Dec 1 1997

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smoothing
Smoothing
strings
Strings
Configuration
configurations
Gauge
Fluctuations
Wilson Loop
Correlator
accidents
correlators
Physical property
Accidents
Inconsistent
Renormalization Group
Quarks
physical properties
quarks

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Remarks on Abelian dominance. / Kovács, T.; Schram, Zsolt.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 56, No. 11, 01.12.1997, p. 6824-6828.

Research output: Contribution to journalArticle

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