Graviton propagator in de Sitter space

B. Allen
Phys. Rev. D 34, 3670 – Published 15 December 1986
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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(huvguvhσσ). 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.

  • Received 30 June 1986

DOI:https://doi.org/10.1103/PhysRevD.34.3670

©1986 American Physical Society

Authors & Affiliations

B. Allen

  • Department of Physics, Tufts University, Medford, Massachusetts 02155

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Vol. 34, Iss. 12 — 15 December 1986

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