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

Abstract

The Yang-Mills Schrödinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an ansatz for the wave functional, which is strongly peaked at the Gribov horizon. A coupled set of Schwinger-Dyson equations for the gluon and ghost propagators in the Yang-Mills vacuum as well as for the curvature of gauge orbit space is derived and solved in one-loop approximation. We find an infrared suppressed gluon propagator, an infrared singular ghost propagator and a almost linearly rising confinement potential.

24 pages, revtex, 13 figures

References in corpus (1)

• On the Yang-Mills wave functional in Coulomb gauge

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