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On Resumming Inflationary Perturbations beyond One-loop

It is well known that the correlation functions of a scalar field in a quasi-de Sitter space exhibit at the loop level cumulative infra-red effects proportional to the total number of e-foldings of inflation. Using the in-in formalism, we explore the behavior of these infra-red effects in the large...

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Detalles Bibliográficos
Autores principales: Riotto, Antonio, Sloth, Martin S
Lenguaje:eng
Publicado: 2008
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1475-7516/2008/04/030
http://cds.cern.ch/record/1080576
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author Riotto, Antonio
Sloth, Martin S
author_facet Riotto, Antonio
Sloth, Martin S
author_sort Riotto, Antonio
collection CERN
description It is well known that the correlation functions of a scalar field in a quasi-de Sitter space exhibit at the loop level cumulative infra-red effects proportional to the total number of e-foldings of inflation. Using the in-in formalism, we explore the behavior of these infra-red effects in the large N limit of an O(N) invariant scalar field theory with quartic self-interactions. By resumming all higher-order loop diagrams non-perturbatively, we show that the infra-red effects disappear and that the connected four-point correlation function, which is a signal of non-Gaussianity, is non-perturbatively enhanced with respect to its tree-level value.
id cern-1080576
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-10805762019-09-30T06:29:59Zdoi:10.1088/1475-7516/2008/04/030http://cds.cern.ch/record/1080576engRiotto, AntonioSloth, Martin SOn Resumming Inflationary Perturbations beyond One-loopParticle Physics - PhenomenologyIt is well known that the correlation functions of a scalar field in a quasi-de Sitter space exhibit at the loop level cumulative infra-red effects proportional to the total number of e-foldings of inflation. Using the in-in formalism, we explore the behavior of these infra-red effects in the large N limit of an O(N) invariant scalar field theory with quartic self-interactions. By resumming all higher-order loop diagrams non-perturbatively, we show that the infra-red effects disappear and that the connected four-point correlation function, which is a signal of non-Gaussianity, is non-perturbatively enhanced with respect to its tree-level value.arXiv:0801.1845CERN-PH-TH-2008-006oai:cds.cern.ch:10805762008-01-15
spellingShingle Particle Physics - Phenomenology
Riotto, Antonio
Sloth, Martin S
On Resumming Inflationary Perturbations beyond One-loop
title On Resumming Inflationary Perturbations beyond One-loop
title_full On Resumming Inflationary Perturbations beyond One-loop
title_fullStr On Resumming Inflationary Perturbations beyond One-loop
title_full_unstemmed On Resumming Inflationary Perturbations beyond One-loop
title_short On Resumming Inflationary Perturbations beyond One-loop
title_sort on resumming inflationary perturbations beyond one-loop
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1088/1475-7516/2008/04/030
http://cds.cern.ch/record/1080576
work_keys_str_mv AT riottoantonio onresumminginflationaryperturbationsbeyondoneloop
AT slothmartins onresumminginflationaryperturbationsbeyondoneloop