Eliminating infrared divergences in an inflationary cosmology

Abstract

We study the infrared divergences arising from gravitational loops in the standard cosmological perturbation theory. We provide a simple solution to the problem at all orders of cosmological perturbation theory by redefining the perturbation theory in terms of a local observer. We propose to reformulate the standard perturbations in the in-in formalism, and obtain an infrared safe perturbation theory. Our results do not depend on any infrared cutoffs or similar parameters. We then present an explicit example of graviton one-loop corrections, and briefly discuss non-gaussianities.

18 pages plus bibliography; improved presentation of the new redefined perturbation theory centred on locality; improved discussion and comparison with other approaches in the literature based for example on redefinition of the background or the gauge transformations, showing in a clearer way the differences between such approaches and ours

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Cited by in corpus (6)

• Cosmological observables, IR growth of fluctuations, and scale-dependent anisotropies
• On Loops in Inflation II: IR Effects in Single Clock Inflation
• Infra-red effects of Non-linear sigma model in de Sitter space
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• Alternate Definitions of Loop Corrections to the Primordial Power Spectra
• Stationary Phase Approximation and Instanton-like States for Cosmological In-In Path Integrals