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  Graviton propagator in de Sitter space

Allen, B. (1986). Graviton propagator in de Sitter space. Physical Review D, 34(12), 3670-3675. doi:10.1103/PhysRevD.34.3670.

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Allen, Bruce1, Author              
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1Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24011              

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 Abstract: 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 ‘‘ε gauges’’ with Fv=∇u(huv-εguvhσ σ). We show that the propagator is completely finite and has no infrared divergences provided that ε is not given certain ‘‘exceptional’’ values. It is only for these ‘‘exceptional’’ values of ε 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 ε 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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 Dates: 1986-06
 Publication Status: Published in print
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 34 (12) Sequence Number: - Start / End Page: 3670 - 3675 Identifier: ISSN: 1550-7998