Faddeev-Popov Zeros and Confinement of Color in a Hyperspherical Gauge Model

Abstract

A new rotationally invariant Hamiltonian method, formulated on a four-dimensional hyperspherical surface, is proposed for the numerical study of quantum gauge field models. It is shown that in the Coulomb gauge it is sufficient, as well as necessary, to restrict transverse potentials to the zero-free domain of the Faddeev-Popov determinant. Numerical studies of an SU(2) model support Gribov's suggestion that the zeros provide a natural way to understand the origin of confinement.