The Gribov horizon

Abstract
Properties of the Coulomb-gauge Gribov horizon are discussed. In a non-Abelian gauge model, transverse field amplitudes must lie in the region bounded by the horizon. Natural enforcement of this restriction is provided by the Coulomb energy associated with color-charge fluctuations. To isolate the most important color-charge terms at the horizon and investigate their influence on quantum eigenstates, a simple nonlinear transformation is introduced which removes the horizon to infinity. The results of some numerical calculations on the shape of the horizon are also reported.