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Eliminating infrared divergences in an inflationary cosmology

2011/03/07 by Diego Chialva, Anupam Mazumdar, Chialva, Diego +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1103.1312

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

openalex publication_date 2011/03/07 · arxiv created 2012/03/22 · arxiv updated 2012/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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