Confinement and Topological Charge in the Abelian Gauge of QCD

Details Confinement and Topological Charge in the Abelian Gauge of QCD Confinement and Topological Charge in the Abelian Gauge of QCD

1996-09-18

arxiv.org/abs/hep-lat/9609033v1

Nucl.Phys.Proc.Suppl. 53 (1997) 528-530

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, LaTeX, Talk presented at LATTICE96(topology)

Scientific paper

10.1016/S0920-5632(96)00708-6

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 $16^3 \times 4$ 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.

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