Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.physletb.2019.134925 http://hdl.handle.net/11449/196305 |
Resumo: | We employ stochastic quantization for a self-interacting nonminimal massive scalar field in curved spacetime. The covariant background field method and local momentum space representation are used to obtain the Euclidean correlation function and evaluate multi-loop quantum corrections through simultaneous expansions in the curvature tensor and its covariant derivatives and in the noise fields. The stochastic correlation function for a quartic self-interaction reproduces the well-known one-loop result by Bunch and Parker and is used to construct the effective potential in curved spacetime in an arbitrary dimension D up to the first order in curvature. Furthermore, we present a sample of numerical simulations for D = 3 in the first order in curvature. We consider the model with spontaneous symmetry breaking and obtain fully nonperturbative solutions for the vacuum expectation value of the scalar field and compare them with one- and two-loop solutions. (C) 2019 The Authors. Published by Elsevier B.V. |
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Repositório Institucional da UNESP |
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Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravityStochastic quantizationCurved spaceNonperturbative methodsWe employ stochastic quantization for a self-interacting nonminimal massive scalar field in curved spacetime. The covariant background field method and local momentum space representation are used to obtain the Euclidean correlation function and evaluate multi-loop quantum corrections through simultaneous expansions in the curvature tensor and its covariant derivatives and in the noise fields. The stochastic correlation function for a quartic self-interaction reproduces the well-known one-loop result by Bunch and Parker and is used to construct the effective potential in curved spacetime in an arbitrary dimension D up to the first order in curvature. Furthermore, we present a sample of numerical simulations for D = 3 in the first order in curvature. We consider the model with spontaneous symmetry breaking and obtain fully nonperturbative solutions for the vacuum expectation value of the scalar field and compare them with one- and two-loop solutions. (C) 2019 The Authors. Published by Elsevier B.V.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Univ Fed Juiz de Fora, ICE, Dept Fis, BR-36036330 Juiz De Fora, MG, BrazilUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz,271 Bloco 2, BR-01140070 Sao Paulo, SP, BrazilSouthern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R ChinaTomsk State Pedag Univ, Dept Theoret Phys, Tomsk 634061, RussiaNatl Res Tomsk State Univ, Tomsk 634050, RussiaUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz,271 Bloco 2, BR-01140070 Sao Paulo, SP, BrazilCNPq: 305894/2009-9CNPq: 464898/2014-5CNPq: 303635/2018-5FAPESP: 2013/01907-0FAPEMIG: APQ-01205-16Elsevier B.V.Univ Fed Juiz de ForaUniversidade Estadual Paulista (Unesp)Southern Univ Sci & TechnolTomsk State Pedag UnivNatl Res Tomsk State UnivReis, Eduardo Antonio dosKrein, Gastao [UNESP]Paula Netto, Tiberio deShapiro, Ilya L.2020-12-10T19:40:23Z2020-12-10T19:40:23Z2019-11-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article9http://dx.doi.org/10.1016/j.physletb.2019.134925Physics Letters B. Amsterdam: Elsevier, v. 798, 9 p., 2019.0370-2693http://hdl.handle.net/11449/19630510.1016/j.physletb.2019.134925WOS:000494939000049Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysics Letters Binfo:eu-repo/semantics/openAccess2021-10-23T07:00:38Zoai:repositorio.unesp.br:11449/196305Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T07:00:38Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity |
title |
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity |
spellingShingle |
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity Reis, Eduardo Antonio dos Stochastic quantization Curved space Nonperturbative methods |
title_short |
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity |
title_full |
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity |
title_fullStr |
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity |
title_full_unstemmed |
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity |
title_sort |
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity |
author |
Reis, Eduardo Antonio dos |
author_facet |
Reis, Eduardo Antonio dos Krein, Gastao [UNESP] Paula Netto, Tiberio de Shapiro, Ilya L. |
author_role |
author |
author2 |
Krein, Gastao [UNESP] Paula Netto, Tiberio de Shapiro, Ilya L. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Univ Fed Juiz de Fora Universidade Estadual Paulista (Unesp) Southern Univ Sci & Technol Tomsk State Pedag Univ Natl Res Tomsk State Univ |
dc.contributor.author.fl_str_mv |
Reis, Eduardo Antonio dos Krein, Gastao [UNESP] Paula Netto, Tiberio de Shapiro, Ilya L. |
dc.subject.por.fl_str_mv |
Stochastic quantization Curved space Nonperturbative methods |
topic |
Stochastic quantization Curved space Nonperturbative methods |
description |
We employ stochastic quantization for a self-interacting nonminimal massive scalar field in curved spacetime. The covariant background field method and local momentum space representation are used to obtain the Euclidean correlation function and evaluate multi-loop quantum corrections through simultaneous expansions in the curvature tensor and its covariant derivatives and in the noise fields. The stochastic correlation function for a quartic self-interaction reproduces the well-known one-loop result by Bunch and Parker and is used to construct the effective potential in curved spacetime in an arbitrary dimension D up to the first order in curvature. Furthermore, we present a sample of numerical simulations for D = 3 in the first order in curvature. We consider the model with spontaneous symmetry breaking and obtain fully nonperturbative solutions for the vacuum expectation value of the scalar field and compare them with one- and two-loop solutions. (C) 2019 The Authors. Published by Elsevier B.V. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-11-10 2020-12-10T19:40:23Z 2020-12-10T19:40:23Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.physletb.2019.134925 Physics Letters B. Amsterdam: Elsevier, v. 798, 9 p., 2019. 0370-2693 http://hdl.handle.net/11449/196305 10.1016/j.physletb.2019.134925 WOS:000494939000049 |
url |
http://dx.doi.org/10.1016/j.physletb.2019.134925 http://hdl.handle.net/11449/196305 |
identifier_str_mv |
Physics Letters B. Amsterdam: Elsevier, v. 798, 9 p., 2019. 0370-2693 10.1016/j.physletb.2019.134925 WOS:000494939000049 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physics Letters B |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
9 |
dc.publisher.none.fl_str_mv |
Elsevier B.V. |
publisher.none.fl_str_mv |
Elsevier B.V. |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803649973652291584 |