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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/126082
Ver los metadatos del registro completo
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 Técnicas2025-09-29T10:11:23Zoai: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:34982025-09-29 10:11:23.819CONICET 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 |
_version_ |
1844614012995633152 |
score |
13.070432 |