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The Yang-Mills Schr\"odinger equation is solved in Coulomb gauge for thevacuum by the variational principle using an ansatz for the wave functional,which is strongly peaked at the Gribov horizon. A coupled set ofSchwinger-Dyson equations for the gluon and ghost propagators in the Yang-Millsvacuum as well as for the curvature of gauge orbit space is derived and solvedin one-loop approximation. We find an infrared suppressed gluon propagator, aninfrared singular ghost propagator and a almost linearly rising confinementpotential.Comment: 24 pages, revtex, 13 figure

Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge