On the controversies of the Unruh effect
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Tipo de documento: | Dissertação |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | 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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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:Repositório Institucional 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/tedeRepositório InstitucionalPUBhttp://repositorio.bc.ufg.br/oai/requesttasesdissertacoes.bc@ufg.bropendoar:2021-10-01T12:13:02Repositório Institucional 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 |
format |
masterThesis |
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 |
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1 |
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Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
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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 |
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Instituto de Física - IF (RG) |
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Universidade Federal de Goiás |
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