Confinement and topological charge in the abelian gauge of QCD

H. Suganuma, S. Sasaki, H. Ichie, F. Araki, O. Miyamura

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We study the relation between instantons and monopoles in the abelian gauge. First, we investigate the monopole in the multi-instanton solution in the continuum Yang-Mills theory using the Polyakov gauge. At a large instanton density, the monopole trajectory becomes highly complicated, which can be regarded as a signal of monopole condensation. Second, we study instantons and monopoles in the SU(2) lattice gauge theory both in the maximally abelian (MA) gauge and in the Polyakov gauge. Using the 163 × 4 lattice, we find monopole dominance for instantons in the confinement phase even at finite temperatures. A linear-type correlation is found between the total monopole-loop length and the integral of the absolute value of the topological density (the total number of instantons and anti-instantons) in the MA gauge. We conjecture that instantons enhance the monopole-loop length and promote monopole condensation.

Original languageEnglish
Pages (from-to)528-530
Number of pages3
JournalNuclear Physics B - Proceedings Supplements
Volume53
Issue number1-3
DOIs
Publication statusPublished - 1997 Feb
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics

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