  It has been suggested that using a gauge fixing Lagrangian that is not
quadratic in a gauge fixing condition is most appropriate for gauge theories
formulated on a hypersphere. We reexamine the appropriate ghost action that is
to be associated with gauge fixing, applying a technique that has been used for
ensuring that the propagator for a massless spin-two field is transverse and
traceless. It is shown that this non-quadratic gauge fixing Lagrangian leads to
two pair of complex Fermionic ghosts and two Bosonic real ghosts.
