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Graviton propagator in de Sitter space

MPG-Autoren
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Allen,  Bruce
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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prd34-3670.pdf
(Verlagsversion), 994KB

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Zitation

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


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0013-5DE2-8
Zusammenfassung
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.