Distribution of Instanton and Monopole Clustering

Details Distribution of Instanton and Monopole Clustering Distribution of Instanton and Monopole Clustering

1996-10-02

arxiv.org/abs/hep-lat/9610003v1

Nucl.Phys.Proc.Suppl. 53 (1997) 494-496

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented by M. Fukushima at ``Lattice '96'', the International Symposium on Lattice Field Theory, 4 - 8 June 1996, in St

Scientific paper

10.1016/S0920-5632(96)00697-4

We study the relation between the instanton distribution and the monopole loop length in the SU(2) gauge theory with the abelian gauge fixing. We measure the monopole current from the multi-instanton ensemble on the $16^4$ lattice using the maximally abelian gauge. When the instanton density is dilute, there appear only small monopole loops. On the other hand, in the dense case, there appears one very long monopole loop, which is responsible for the confinement property, in each gauge configuration. We find a clear monopole clustering in the histogram of the monopole loop length from 240 gauge configurations.

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