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 $ ρ^{-5} $ for the large instanton size $ ρ$. 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 $ σ\simeq 1 GeV/fm $ for the density $ (N/V)^{1/4} = 200 MeV $. Thus, instantons directly relate to color confinement properties.