Remarks on the implementation of Gauss's law in theA0=0gauge

A naive implementation of the residual gauge invariance of (continuum) QED in the $A_0=0\mathrm{}$ gauge leads to charged-particle nonpropagation in space. It is shown that the Ward-Takahashi identities leading to this result are false. Rather, Gauss's law supplants these false identities, and implies that it is only the longitudinal modes of the Maxwell field that are rendered immobile by gauge invariance. Analogous results are conjectured to hold in quantum chromodynamics.