New solutions to the classical non-Abelian Yang-Mills gauge field with confinement

Abstract

Within the differential geometry regime the authors have introduced an ansatz and have reduced the classical 0(4) nonAbelian Yang-Mills gauge field equations into one differential equation which essentially describes the variation of the field components in generalised time and space. This ansatz amounts to requiring that the metric tensor be diagonal and the two parameter functions be functions of radial distance only. They have carried out a series of numerical simulations of the field equation and found that the field strength components display the confinement property.