  The static color-Coulomb interaction potential is calculated as the solution
of a non-linear integral equation which arises in the Hamiltonian Coulomb gauge
when the restriction to the interior of the Gribov horizon is implemented. The
potential obtained is in qualitative agreement with expectations, being
Coulombic with logarithmic corrections at short range, and confining at long
range. The values obtained for the string tension and $\Lambda_{\overline{MS}}$
are in semi-quantitative agreement with lattice Monte Carlo and
phenomenological determinations.
