Cosmological UV/IR Divergences and de-Sitter Spacetime

Details Cosmological UV/IR Divergences and de-Sitter Spacetime Cosmological UV/IR Divergences and de-Sitter Spacetime

2011-03-01

arxiv.org/abs/1103.0285v2

Phys.Rev.D83:083520,2011

Physics

High Energy Physics

High Energy Physics - Theory

LateX2e, 21 pages, 4 .eps figures; v2: New references added. Final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.83.083520

We consider one loop graviton corrections to scalar field Green's functions in the de Sitter phase of an inflationary space-time, a topic relevant to the computation of cosmological observables beyond linear order. By embedding de-Sitter space into an ultraviolet complete theory such as M-theory we argue that the ultraviolet (UV) cutoff of the effective field theory should be taken to be fixed in physical coordinates, whereas the infrared (IR) cutoff is expanding as space expands. In this context, we demonstrate how to implement three different regularization schemes -- the brute force cutoff regularization, dimensional regularization and Pauli-Villars regularization -- obtaining the same result for the scalar propagator if we use any of the three regularization schemes.

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