English

Confinement Properties in the Multi-Instanton System

High Energy Physics - Lattice 2009-10-30 v1

Abstract

We investigate the confinement properties in the multi-instanton system, where the size distribution is assumed to be ρ5 \rho^{-5} for the large instanton size ρ \rho . We find that the instanton vacuum gives the area law behavior of the Wilson loop, which indicates existence of the linear confining potential. In the multi-instanton system, the string tension increases monotonously with the instanton density, and takes the standard value σ1GeV/fm \sigma \simeq 1 GeV/fm for the density (N/V)1/4=200MeV (N/V)^{{1/4}} = 200 MeV . Thus, instantons directly relate to color confinement properties.

Keywords

Cite

@article{arxiv.hep-lat/9709133,
  title  = {Confinement Properties in the Multi-Instanton System},
  author = {Masahiro Fukushima and Hideo Suganuma and Atsunori Tanaka and Hiroshi Toki and Shoich Sasaki},
  journal= {arXiv preprint arXiv:hep-lat/9709133},
  year   = {2009}
}

Comments

Talk presented by M. Fukushima at ``Lattice '97'', the International Symposium on Lattice Field Theory, 22 - 26 July 1997, in Edinburgh, Scotland, 3 pages, Plain Latex