Confinement Properties in the Multi-Instanton System

Abstract

We investigate the confinement properties in the multi-instanton system, where the size distribution is assumed to be ${\rho }^{-5}$ for the large instanton size $\rho$. 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 $\sigma \simeq 1GeV/fm$ for the density $(N/V{)}^{1/4}=200MeV$. Thus, instantons directly relate to color confinement properties.

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