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
Autores principales:	Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G.
Formato:	JOUR
Materias:	Cosmology of Theories beyond the SM Nonperturbative Effects Space-Time Symmetries
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n10_p_Nacir
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_11266708_v2018_n10_p_Nacir
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spelling	todo:paper_11266708_v2018_n10_p_Nacir2023-10-03T16:07:40Z Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. 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). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. 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).
format	JOUR
author	Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G.
author_facet	Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G.
author_sort	Nacir, D.L.
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
url	http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n10_p_Nacir
work_keys_str_mv	AT nacirdl longdistancebehaviorofonmodelcorrelatorsindesitterspaceandtheresummationofsecularterms AT mazzitellifd longdistancebehaviorofonmodelcorrelatorsindesitterspaceandtheresummationofsecularterms AT trombettalg longdistancebehaviorofonmodelcorrelatorsindesitterspaceandtheresummationofsecularterms
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Long distance behavior of O(N)-model correlators in de Sitter space and the resummation of secular terms

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