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It has been suggested that using a gauge fixing Lagrangian that is notquadratic in a gauge fixing condition is most appropriate for gauge theoriesformulated on a hypersphere. We reexamine the appropriate ghost action that isto be associated with gauge fixing, applying a technique that has been used forensuring that the propagator for a massless spin-two field is transverse andtraceless. It is shown that this non-quadratic gauge fixing Lagrangian leads totwo pair of complex Fermionic ghosts and two Bosonic real ghosts.

Non-Quadratic Gauge Fixing and Ghosts for Gauge Theories on the Hypersphere