Localized instanton in four dimensions

Abstract
A family of generalized Yang-Mills- (GYM) Higgs (H) systems is proposed as phenomenological models giving rise to localized instantons in four dimensions. An argument in favor of the (qualified) uniqueness of this system, which features a fundamental-representation Higgs field, is given. Two ‘‘radial’’ Ansa$auml—tze are made, and the compatibility of one of them with the field equation is analyzed in detail. It is suggested that such GYMH systems can be used in the computation of the confining potential.