Confinement made simple in the Coulomb gauge

In Gribov's scenario in Coulomb gauge, confinement of color charge is due to a long-range instantaneous color-Coulomb potential V(R). This may be determined numerically from the instantaneous hart of the gluon propagator D-44,D-inst = V (R)delta(t). Confinement of gluons is reflected in the vanishing at k = 0 of the equal-time three-dimensionally transverse would-be physical gluon propagator D-tr(k). We present exact analytic results on D-44 and D-tr (which have also been investigated numerically, A. Cucchieri, T. Mendes, and D. Zwanziger, this conference), in particular the vanishing of D-tr(k) at k = 0, and the determination of the running coupling constant from x(0)g(2)(k) = k(2)D(44,inst), where x(0) = 12N/(11N - 2N(f)).