Subsidiary condition for Yang-Mills theory

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Abstract
A subsidiary condition for Yang-Mills theory is given. A prescription is proposed for using such a subsidiary condition to eliminate unphysical degrees of freedom from gauge theories in covariant gauges. It is pointed out that elimination of such unphysical modes can generate explicit nonlocal interactions among particles in the physical subspace. The Coulomb interactions among charged particles in QED is one such nonlocal interaction that can be generated in this way. It is argued that confining forces among color-bearing combinations of quarks and transverse gluons in QCD might be another.