Physics
Scientific paper
Dec 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34.3670a&link_type=abstract
Physical Review D (Particles and Fields), Volume 34, Issue 12, 15 December 1986, pp.3670-3675
Physics
47
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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