On the controversies of the Unruh effect

Detalhes bibliográficos
Ano de defesa: 2021
Autor(a) principal: Diniz, João Vítor Barnez Pignata Leal lattes
Orientador(a): Avelar, Ardiley Torres lattes
Banca de defesa: Avelar, Ardiley Torres, Céleri, Lucas Chibebe, Matsas, George Emanuel Avraam
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Universidade Federal de Goiás
Programa de Pós-Graduação: Programa de Pós-graduação em Fisica (IF)
Departamento: Instituto de Física - IF (RG)
País: Brasil
Palavras-chave em Português:
Efeito Unruh
Teoria quântica de campos
Condições de contorno
Palavras-chave em Inglês:
Unruh effect
Quantum field theory
Boundary conditions
Área do conhecimento CNPq:
CIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERAL
Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/11669
Resumo: In the 50 years since it was first proposed, the Unruh effect has been discussed extensively in literature, with many theoretical results supporting its existence and some questioning whether it is actually observed. The Unruh effect states that observers with constant proper acceleration in Minkowski spacetime will respond as if interacting with a thermal bath at a temperature proportional to the acceleration. For common accelerations this temperature is very low, so experimental confirmation has been challenging. To understand the effect and the discussion around it, we review some important results from quantum field theory and work out a detailed derivation of the Unruh effect for massless and massive fields, including the calculation of the Bogoliubov coefficients for these problems. Furthermore, we follow a discussion on the role that the boundary conditions play in this effect, showing that they may lead to an incomplete description of the field in Minkowski spacetime when written in terms of the modes in Rindler spacetime.
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spelling Avelar, Ardiley Torreshttp://lattes.cnpq.br/5732286631137637Taillebois, Emile Raymond Ferreirahttp://lattes.cnpq.br/1212175267808857Avelar, Ardiley TorresCéleri, Lucas ChibebeMatsas, George Emanuel Avraamhttp://lattes.cnpq.br/2526426318234611Diniz, João Vítor Barnez Pignata Leal2021-10-01T12:13:02Z2021-10-01T12:13:02Z2021-08-16DINIZ, J. V. B. P. L. On the controversies of the Unruh effect. 2021. 46 f. Dissertação (Mestrado em Fisica) - Universidade Federal de Goiás, Goiânia, 2021.http://repositorio.bc.ufg.br/tede/handle/tede/11669In the 50 years since it was first proposed, the Unruh effect has been discussed extensively in literature, with many theoretical results supporting its existence and some questioning whether it is actually observed. The Unruh effect states that observers with constant proper acceleration in Minkowski spacetime will respond as if interacting with a thermal bath at a temperature proportional to the acceleration. For common accelerations this temperature is very low, so experimental confirmation has been challenging. To understand the effect and the discussion around it, we review some important results from quantum field theory and work out a detailed derivation of the Unruh effect for massless and massive fields, including the calculation of the Bogoliubov coefficients for these problems. Furthermore, we follow a discussion on the role that the boundary conditions play in this effect, showing that they may lead to an incomplete description of the field in Minkowski spacetime when written in terms of the modes in Rindler spacetime.Nos 50 anos desde proposto, o efeito Unruh tem sido discutido extensivamente na literatura, com vários resultados teóricos apoiando sua existência e alguns questionando se é de fato observado. O efeito Unruh afirma que observadores com aceleração própria constante no espaço tempo de Minkowski responderão como se interagindo com um banho térmico a uma temperatura proporcional à aceleração. Para acelerações comuns essa temperatura é muito baixa, tornando difícil verificações experimentais. Para entender esse efeito e a discussão que o acompanha, revisamos alguns resultados importantes da teoria quântica de campos e mostramos uma derivação detalhada do efeito Unruh para campos com e sem massa, incluindo o cálculo dos coeficientes de Bogoliubov para esses problemas. Além disso, acompanhamos uma discussão sobre o papel das condições de contorno nesse problema, mostrando que podem levar a uma descrição incompleta do campo no espaço tempo de Minkowski quando escrito em termos dos modos no espaço tempo de Rindler.Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2021-09-30T14:34:34Z No. of bitstreams: 2 Dissertação - João Vítor Barnez Pignata Leal Diniz - 2021.pdf: 567286 bytes, checksum: dfc91fe2163b356c1d4e6185f76f3106 (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2021-10-01T12:13:02Z (GMT) No. of bitstreams: 2 Dissertação - João Vítor Barnez Pignata Leal Diniz - 2021.pdf: 567286 bytes, checksum: dfc91fe2163b356c1d4e6185f76f3106 (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5)Made available in DSpace on 2021-10-01T12:13:02Z (GMT). No. of bitstreams: 2 Dissertação - João Vítor Barnez Pignata Leal Diniz - 2021.pdf: 567286 bytes, checksum: dfc91fe2163b356c1d4e6185f76f3106 (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Previous issue date: 2021-08-16Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESengUniversidade Federal de GoiásPrograma de Pós-graduação em Fisica (IF)UFGBrasilInstituto de Física - IF (RG)Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessEfeito UnruhTeoria quântica de camposCondições de contornoUnruh effectQuantum field theoryBoundary conditionsCIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERALOn the controversies of the Unruh effectinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis56500500500500255831reponame:Biblioteca Digital de Teses e Dissertações da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGORIGINALDissertação - João Vítor Barnez Pignata Leal Diniz - 2021.pdfDissertação - João Vítor Barnez Pignata Leal Diniz - 2021.pdfapplication/pdf567286http://repositorio.bc.ufg.br/tede/bitstreams/e8aec297-ff1f-43d6-9f6c-aec4c2a6d8cb/downloaddfc91fe2163b356c1d4e6185f76f3106MD53LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.bc.ufg.br/tede/bitstreams/824bc1e4-3a13-41d6-af50-f85c32fdb404/download8a4605be74aa9ea9d79846c1fba20a33MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.bc.ufg.br/tede/bitstreams/fa2af90e-6933-4d5f-ad13-d01eebac6541/download4460e5956bc1d1639be9ae6146a50347MD52tede/116692021-10-01 09:13:02.961http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internationalopen.accessoai:repositorio.bc.ufg.br:tede/11669http://repositorio.bc.ufg.br/tedeBiblioteca Digital de Teses e Dissertaçõeshttp://repositorio.bc.ufg.br/PUBhttps://repositorio.bc.ufg.br/tede_oai/requesttesesdissertacoes.bc@ufg.br ||tesesdissertacoes.bc@ufg.bropendoar:32082021-10-01T12:13:02Biblioteca Digital de Teses e Dissertações da UFG - Universidade Federal de Goiás (UFG)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
dc.title.pt_BR.fl_str_mv On the controversies of the Unruh effect
title On the controversies of the Unruh effect
spellingShingle On the controversies of the Unruh effect
Diniz, João Vítor Barnez Pignata Leal
Efeito Unruh
Teoria quântica de campos
Condições de contorno
Unruh effect
Quantum field theory
Boundary conditions
CIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERAL
title_short On the controversies of the Unruh effect
title_full On the controversies of the Unruh effect
title_fullStr On the controversies of the Unruh effect
title_full_unstemmed On the controversies of the Unruh effect
title_sort On the controversies of the Unruh effect
author Diniz, João Vítor Barnez Pignata Leal
author_facet Diniz, João Vítor Barnez Pignata Leal
author_role author
dc.contributor.advisor1.fl_str_mv Avelar, Ardiley Torres
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/5732286631137637
dc.contributor.advisor-co1.fl_str_mv Taillebois, Emile Raymond Ferreira
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/1212175267808857
dc.contributor.referee1.fl_str_mv Avelar, Ardiley Torres
dc.contributor.referee2.fl_str_mv Céleri, Lucas Chibebe
dc.contributor.referee3.fl_str_mv Matsas, George Emanuel Avraam
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/2526426318234611
dc.contributor.author.fl_str_mv Diniz, João Vítor Barnez Pignata Leal
contributor_str_mv Avelar, Ardiley Torres
Taillebois, Emile Raymond Ferreira
Avelar, Ardiley Torres
Céleri, Lucas Chibebe
Matsas, George Emanuel Avraam
dc.subject.por.fl_str_mv Efeito Unruh
Teoria quântica de campos
Condições de contorno
topic Efeito Unruh
Teoria quântica de campos
Condições de contorno
Unruh effect
Quantum field theory
Boundary conditions
CIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERAL
dc.subject.eng.fl_str_mv Unruh effect
Quantum field theory
Boundary conditions
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::FISICA::FISICA GERAL
description In the 50 years since it was first proposed, the Unruh effect has been discussed extensively in literature, with many theoretical results supporting its existence and some questioning whether it is actually observed. The Unruh effect states that observers with constant proper acceleration in Minkowski spacetime will respond as if interacting with a thermal bath at a temperature proportional to the acceleration. For common accelerations this temperature is very low, so experimental confirmation has been challenging. To understand the effect and the discussion around it, we review some important results from quantum field theory and work out a detailed derivation of the Unruh effect for massless and massive fields, including the calculation of the Bogoliubov coefficients for these problems. Furthermore, we follow a discussion on the role that the boundary conditions play in this effect, showing that they may lead to an incomplete description of the field in Minkowski spacetime when written in terms of the modes in Rindler spacetime.
publishDate 2021
dc.date.accessioned.fl_str_mv 2021-10-01T12:13:02Z
dc.date.available.fl_str_mv 2021-10-01T12:13:02Z
dc.date.issued.fl_str_mv 2021-08-16
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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status_str publishedVersion
dc.identifier.citation.fl_str_mv DINIZ, J. V. B. P. L. On the controversies of the Unruh effect. 2021. 46 f. Dissertação (Mestrado em Fisica) - Universidade Federal de Goiás, Goiânia, 2021.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/11669
identifier_str_mv DINIZ, J. V. B. P. L. On the controversies of the Unruh effect. 2021. 46 f. Dissertação (Mestrado em Fisica) - Universidade Federal de Goiás, Goiânia, 2021.
url http://repositorio.bc.ufg.br/tede/handle/tede/11669
dc.language.iso.fl_str_mv eng
language eng
dc.relation.program.fl_str_mv 56
dc.relation.confidence.fl_str_mv 500
500
500
500
dc.relation.department.fl_str_mv 25
dc.relation.cnpq.fl_str_mv 583
dc.relation.sponsorship.fl_str_mv 1
dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Fisica (IF)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Física - IF (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações da UFG
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