Confinement Properties in the Multi-Instanton System

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 1 GeV/fm $forthedensity$ (N/V)^{{1/4}} = 200 MeV $. Thus, instantons directly relate to color confinement properties.