Graviton propagator in de Sitter space

Physics

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Classical General Relativity

Scientific paper

We consider the graviton propagator in a de Sitter background. The propagator depends upon the choice of a gauge-fixing term Lgauge=1/2F2, and we consider the ``ɛ gauges'' with Fv=∇u(huv-ɛguvhσ σ). We show that the propagator is completely finite and has no infrared divergences provided that ɛ is not given certain ``exceptional'' values. It is only for these ``exceptional'' values of ɛ that the propagator has an infrared divergence. We then show that in these exceptional cases the divergences are gauge artifacts and are not physical: they make no contribution to any physical tree-level scattering amplitudes. Furthermore, we show that at one-loop order the zero modes which arise (only) if ɛ is given one of the exceptional values are canceled by the Faddeev-Popov ghosts. There is thus no evidence that the de Sitter background is inconsistent when gravitational fluctuations are considered.

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