  Over the last few years, Slavnov has proposed a formulation of quantum
Yang-Mills theory in the Coulomb gauge which preserves simultaneously manifest
Lorentz invariance and gauge invariance of the ghost field Lagrangian. This
paper presents in detail some of the necessary calculations, i.e. those dealing
with the functional integral for the S-matrix and its invariance under shifted
gauge transformations. The extension of this formalism to quantum gravity in
the Prentki gauge deserves consideration.
