Abstract
For localized non-Abelian gauge fields with positive definite energy density only the Yang-Mills current leads to nonvanishing internal charges on the classical level. The concept of a particle-like blob of gauge-field energy density is used in conjunction with a solution to the free Yang-Mills field equation at a fixed instant of time to investigate the long-range interaction of the charge-bearing field. If each blob carries only one kind of internal charge, this interaction is consistent with classical electrodynamics, supporting an asymptotic identification for the electrodynamic part of the gauge field. It is conjectured that non-Abelian gauge theory could lead to a relation between the strengths of the electromagnetic- and strong-interaction coupling constants. If the gauge field carries more than one kind of internal charge, the presence of an additional interaction not observed in experiment is indicated. It is concluded that the non-Abelian gauge field should carry only one kind of internal charge, the electric charge.
Published Version
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