COLOR-COULOMB FORCE CALCULATED FROM LATTICE COULOMB HAMILTONIAN

The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonia n formulation of lattice gauge theory when the restriction to the inte rior of the Gribov horizon is implemented. The potential obtained is i n qualitative agreement with expectations, being Coulombic with logari thmic corrections at short range and confining at long range. The valu es obtained for the string tension and <lambda((MS))over bar> are in s emi-quantitative agreement with lattice Monte Carlo and phenomenologic al determinations.