O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation

Autores
Nacir, Diana López; Mazzitelli, Francisco Diego; Trombetta, Leonardo Giuliano
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider an O(N) scalar field model with quartic interaction in d-dimensional Euclidean de Sitter space. In order to avoid the problems of the standard perturbative calculations for light and massless fields, we generalize to the O(N) theory a systematic method introduced previously for a single field, which treats the zero modes exactly and the nonzero modes perturbatively. We compute the two-point functions taking into account not only the leading infrared contribution, coming from the self-interaction of the zero modes, but also corrections due to the interaction of the ultraviolet modes. For the model defined in the corresponding Lorentzian de Sitter spacetime, we obtain the two-point functions by analytical continuation. We point out that a partial resummation of the leading secular terms (which necessarily involves nonzero modes) is required to obtain a decay at large distances for massless fields. We implement this resummation along with a systematic double expansion in an effective coupling constant √ λ and in 1/N. We explicitly perform the calculation up to the next-to-next-to-leading order in √ λ and up to next-to-leading order in 1/N. The results reduce to those known in the leading infrared approximation. We also show that they coincide with the ones obtained directly in Lorentzian de Sitter spacetime in the large N limit, provided the same renormalization scheme is used.
Fil: Nacir, Diana López. Cern - European Organization for Nuclear Research; Suiza
Fil: Mazzitelli, Francisco Diego. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Trombetta, Leonardo Giuliano. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Materia
COSMOLOGY OF THEORIES BEYOND THE SM
NONPERTURBATIVE EFFECTS
SPACE-TIME SYMMETRIES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/126082
Acceder
id CONICETDig_03411a6b51ce13bd4b307af5af314762
oai_identifier_str oai:ri.conicet.gov.ar:11336/126082
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling O(N) model in Euclidean de Sitter space: beyond the leading infrared approximationNacir, Diana LópezMazzitelli, Francisco DiegoTrombetta, Leonardo GiulianoCOSMOLOGY OF THEORIES BEYOND THE SMNONPERTURBATIVE EFFECTSSPACE-TIME SYMMETRIEShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider an O(N) scalar field model with quartic interaction in d-dimensional Euclidean de Sitter space. In order to avoid the problems of the standard perturbative calculations for light and massless fields, we generalize to the O(N) theory a systematic method introduced previously for a single field, which treats the zero modes exactly and the nonzero modes perturbatively. We compute the two-point functions taking into account not only the leading infrared contribution, coming from the self-interaction of the zero modes, but also corrections due to the interaction of the ultraviolet modes. For the model defined in the corresponding Lorentzian de Sitter spacetime, we obtain the two-point functions by analytical continuation. We point out that a partial resummation of the leading secular terms (which necessarily involves nonzero modes) is required to obtain a decay at large distances for massless fields. We implement this resummation along with a systematic double expansion in an effective coupling constant √ λ and in 1/N. We explicitly perform the calculation up to the next-to-next-to-leading order in √ λ and up to next-to-leading order in 1/N. The results reduce to those known in the leading infrared approximation. We also show that they coincide with the ones obtained directly in Lorentzian de Sitter spacetime in the large N limit, provided the same renormalization scheme is used.Fil: Nacir, Diana López. Cern - European Organization for Nuclear Research; SuizaFil: Mazzitelli, Francisco Diego. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Trombetta, Leonardo Giuliano. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaSpringer2016-09-19info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/126082Nacir, Diana López; Mazzitelli, Francisco Diego; Trombetta, Leonardo Giuliano; O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation; Springer; Journal of High Energy Physics; 09; 117; 19-9-2016; 1-311126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2FJHEP09%282016%29117info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP09(2016)117info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/1606.03481.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:08:33Zoai:ri.conicet.gov.ar:11336/126082instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 15:08:33.611CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation
title O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation
spellingShingle O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation
Nacir, Diana López
COSMOLOGY OF THEORIES BEYOND THE SM
NONPERTURBATIVE EFFECTS
SPACE-TIME SYMMETRIES
title_short O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation
title_full O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation
title_fullStr O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation
title_full_unstemmed O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation
title_sort O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation
dc.creator.none.fl_str_mv Nacir, Diana López
Mazzitelli, Francisco Diego
Trombetta, Leonardo Giuliano
author Nacir, Diana López
author_facet Nacir, Diana López
Mazzitelli, Francisco Diego
Trombetta, Leonardo Giuliano
author_role author
author2 Mazzitelli, Francisco Diego
Trombetta, Leonardo Giuliano
author2_role author
author
dc.subject.none.fl_str_mv COSMOLOGY OF THEORIES BEYOND THE SM
NONPERTURBATIVE EFFECTS
SPACE-TIME SYMMETRIES
topic COSMOLOGY OF THEORIES BEYOND THE SM
NONPERTURBATIVE EFFECTS
SPACE-TIME SYMMETRIES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider an O(N) scalar field model with quartic interaction in d-dimensional Euclidean de Sitter space. In order to avoid the problems of the standard perturbative calculations for light and massless fields, we generalize to the O(N) theory a systematic method introduced previously for a single field, which treats the zero modes exactly and the nonzero modes perturbatively. We compute the two-point functions taking into account not only the leading infrared contribution, coming from the self-interaction of the zero modes, but also corrections due to the interaction of the ultraviolet modes. For the model defined in the corresponding Lorentzian de Sitter spacetime, we obtain the two-point functions by analytical continuation. We point out that a partial resummation of the leading secular terms (which necessarily involves nonzero modes) is required to obtain a decay at large distances for massless fields. We implement this resummation along with a systematic double expansion in an effective coupling constant √ λ and in 1/N. We explicitly perform the calculation up to the next-to-next-to-leading order in √ λ and up to next-to-leading order in 1/N. The results reduce to those known in the leading infrared approximation. We also show that they coincide with the ones obtained directly in Lorentzian de Sitter spacetime in the large N limit, provided the same renormalization scheme is used.
Fil: Nacir, Diana López. Cern - European Organization for Nuclear Research; Suiza
Fil: Mazzitelli, Francisco Diego. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Trombetta, Leonardo Giuliano. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
description We consider an O(N) scalar field model with quartic interaction in d-dimensional Euclidean de Sitter space. In order to avoid the problems of the standard perturbative calculations for light and massless fields, we generalize to the O(N) theory a systematic method introduced previously for a single field, which treats the zero modes exactly and the nonzero modes perturbatively. We compute the two-point functions taking into account not only the leading infrared contribution, coming from the self-interaction of the zero modes, but also corrections due to the interaction of the ultraviolet modes. For the model defined in the corresponding Lorentzian de Sitter spacetime, we obtain the two-point functions by analytical continuation. We point out that a partial resummation of the leading secular terms (which necessarily involves nonzero modes) is required to obtain a decay at large distances for massless fields. We implement this resummation along with a systematic double expansion in an effective coupling constant √ λ and in 1/N. We explicitly perform the calculation up to the next-to-next-to-leading order in √ λ and up to next-to-leading order in 1/N. The results reduce to those known in the leading infrared approximation. We also show that they coincide with the ones obtained directly in Lorentzian de Sitter spacetime in the large N limit, provided the same renormalization scheme is used.
publishDate 2016
dc.date.none.fl_str_mv 2016-09-19
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/126082
Nacir, Diana López; Mazzitelli, Francisco Diego; Trombetta, Leonardo Giuliano; O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation; Springer; Journal of High Energy Physics; 09; 117; 19-9-2016; 1-31
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/126082
identifier_str_mv Nacir, Diana López; Mazzitelli, Francisco Diego; Trombetta, Leonardo Giuliano; O(N) model in Euclidean de Sitter space: beyond the leading infrared approximation; Springer; Journal of High Energy Physics; 09; 117; 19-9-2016; 1-31
1126-6708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2FJHEP09%282016%29117
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP09(2016)117
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/1606.03481.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.22299

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