Abstract
Non-Abelian gauge fields have been investigated on the classical level. The fields are subject to the action principle employed by Yang and Mills for free gauge fields. We have found a field which satisfies this action principle everywhere except on a world line; it has components which are short range and the range properties have been expressed gauge invariantly. The field is singular on a world line and is thus associated with a point particle of some kind. The internal holonomy group belonging to this field is nonsemi-simple, which has the consequence that some components do not contribute to the energy density. The field is not expected to have a direct physical interpretation. Gauge fields with the holonomy groupO3 have also been considered. An ansatz for, the gauge fields has been found for which the free Yang-Mills equations acquire a relatively simple form. Due to the nonlinear nature of the equations, solutions have not been obtained. However, we show that if the field equations are satisfied every where and if a longrange component of the field exists then there will also be a short-range component.
Published Version
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