Heavy quark potential in the instanton liquid model

Abstract

We study the heavy quark potential in the instanton liquid model by carefully measuring Wilson loops out to a distance of order 3$fm$. A random instanton ensemble with a fixed radius $ρ$ = 1/3$fm$ generates a potential $V(R)$ growing very slowly at large $R$. In contrast, a more realistic size distribution growing as $ρ^6$ at small $ρ$ and decaying as $ρ^{-5}$ at large $ρ$, leads to a potential which grows linearly with $R$. The string tension, however, is only about 1/10 of the phenomenological value.

LATTICE98(confine)