Topological structure in the SU(2) vacuum

Thomas DeGrand, Anna Hasenfratz, T. Kovács

Research output: Contribution to journalArticle

101 Citations (Scopus)

Abstract

We study the topological content of the vacuum of SU(2) pure gauge theory using lattice simulations. We use a smoothing process based on the renormalization group equation which removes short distance fluctuations but preserves long distance structure. The action of the smoothed configurations is dominated by instantons, but they still show an area law for Wilson loops with a string tension equal to the string tension on the original configurations. Yet it appears that instantons are not directly responsible for confinement. The average radius of an instanton is about 0,2 fm, at a density of about 2 fm-4. This is a much smaller average size than other lattice studies have indicated. The instantons appear not to be randomly distributed in space, but are clustered.

Original languageEnglish
Pages (from-to)417-441
Number of pages25
JournalNuclear Physics B
Volume505
Issue number1-2
Publication statusPublished - Nov 10 1997

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instantons
vacuum
strings
configurations
smoothing
gauge theory
radii
simulation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

DeGrand, T., Hasenfratz, A., & Kovács, T. (1997). Topological structure in the SU(2) vacuum. Nuclear Physics B, 505(1-2), 417-441.

Topological structure in the SU(2) vacuum. / DeGrand, Thomas; Hasenfratz, Anna; Kovács, T.

In: Nuclear Physics B, Vol. 505, No. 1-2, 10.11.1997, p. 417-441.

Research output: Contribution to journalArticle

DeGrand, T, Hasenfratz, A & Kovács, T 1997, 'Topological structure in the SU(2) vacuum', Nuclear Physics B, vol. 505, no. 1-2, pp. 417-441.
DeGrand T, Hasenfratz A, Kovács T. Topological structure in the SU(2) vacuum. Nuclear Physics B. 1997 Nov 10;505(1-2):417-441.
DeGrand, Thomas ; Hasenfratz, Anna ; Kovács, T. / Topological structure in the SU(2) vacuum. In: Nuclear Physics B. 1997 ; Vol. 505, No. 1-2. pp. 417-441.
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