Abstract
In this paper we discuss the A 0 = 0 gauge formulation of Yang-Mills theories by the aid of the Feynman propagation kernel. We show that Gauss' law is automatically implemented as a constraint on the states. The states not annihilated by Gauss' operator are shown to describe external non-abelian sources. The formula of the Feynman propagation kernel in the presence of external sources is explicitly given and applied to free quantum electrodynamics and the abelian Higgs model. The equivalence with the Coulomb-gauge formulation is proved.
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