Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms

We analyze the long distance behavior of the two-point functions for an interacting scalar O(N) model in de Sitter spacetime. Following our previous work, this behavior is analyzed by analytic continuation of the Euclidean correlators, which are computed by treating the homogeneous zero mode exactly...

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Detalles Bibliográficos
Publicado: 2018
Materias:
Cosmology of Theories beyond the SM
Nonperturbative Effects
Space-Time Symmetries
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n10_p_Nacir
http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n10_p_Nacir
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2018_n10_p_Nacir
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spelling paper:paper_11266708_v2018_n10_p_Nacir2023-06-08T16:08:56Z Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms Cosmology of Theories beyond the SM Nonperturbative Effects Space-Time Symmetries We analyze the long distance behavior of the two-point functions for an interacting scalar O(N) model in de Sitter spacetime. Following our previous work, this behavior is analyzed by analytic continuation of the Euclidean correlators, which are computed by treating the homogeneous zero mode exactly and using a partial resummation of the interactions between the zero and the non-zero modes. We focus on massless fields and present an alternative derivation of our method, which involves a double expansion in 1/N and the coupling constant of the theory. This derivation is simpler than the previous one and can be directly extended for fields with negative squared-mass. We extend our previous results by computing the long wavelength limit of the two-point functions at next-to-leading order in 1/N and at leading order in the coupling constant, which involves a further resummation of Feynman diagrams (needed when the two-point functions are analitically continued). We prove that, after this extra resummation, the two-point functions vanish in the long distance limit. © 2018, The Author(s). 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n10_p_Nacir http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n10_p_Nacir
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Cosmology of Theories beyond the SM
Nonperturbative Effects
Space-Time Symmetries
spellingShingle Cosmology of Theories beyond the SM
Nonperturbative Effects
Space-Time Symmetries
Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms
topic_facet Cosmology of Theories beyond the SM
Nonperturbative Effects
Space-Time Symmetries
description We analyze the long distance behavior of the two-point functions for an interacting scalar O(N) model in de Sitter spacetime. Following our previous work, this behavior is analyzed by analytic continuation of the Euclidean correlators, which are computed by treating the homogeneous zero mode exactly and using a partial resummation of the interactions between the zero and the non-zero modes. We focus on massless fields and present an alternative derivation of our method, which involves a double expansion in 1/N and the coupling constant of the theory. This derivation is simpler than the previous one and can be directly extended for fields with negative squared-mass. We extend our previous results by computing the long wavelength limit of the two-point functions at next-to-leading order in 1/N and at leading order in the coupling constant, which involves a further resummation of Feynman diagrams (needed when the two-point functions are analitically continued). We prove that, after this extra resummation, the two-point functions vanish in the long distance limit. © 2018, The Author(s).
title Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms
title_short Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms
title_full Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms
title_fullStr Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms
title_full_unstemmed Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms
title_sort long distance behavior of o(n)-model correlators in de sitter space and the resummation of secular terms
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n10_p_Nacir
http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n10_p_Nacir
_version_ 1768543910975504384

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