Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.102.105016 http://hdl.handle.net/11449/228874 |
Resumo: | Although the thermal and radiative effects associated with a two-level quantum system undergoing acceleration are now widely understood and accepted, a surprising amount of controversy still surrounds the simpler and older problem of an accelerated classical charge. We argue that the analogy between these systems is more than superficial; there is a sense in which a UD detectorin a quantized scalar field effectively acts as a classical source for that field if the splitting of its energy levels is so small as to be ignored. After showing explicitly that a detector with unresolved inner structure does behave as a structureless scalar source, we use that analysis to rederive the scalar version of a previous analysis of the accelerated electromagnetic charge, without appealing to the troublesome concept of zero-energy particles.Then, we recover these results when the detector energy gap is taken to be zero from the beginning. This vindicates the informal terminology zero-frequency Rindler modesas a shorthand for Rindler modes with arbitrarily small energy.In an Appendix, the mathematical behavior of the normal modes in the limit of small frequency is examined in more detail than before. The vexed (and somewhat ambiguous) question of whether coaccelerating observers detect the acceleration radiation can then be studied on a sound basis. |
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Uniformly accelerated classical sources as limits of Unruh-DeWitt detectorsAlthough the thermal and radiative effects associated with a two-level quantum system undergoing acceleration are now widely understood and accepted, a surprising amount of controversy still surrounds the simpler and older problem of an accelerated classical charge. We argue that the analogy between these systems is more than superficial; there is a sense in which a UD detectorin a quantized scalar field effectively acts as a classical source for that field if the splitting of its energy levels is so small as to be ignored. After showing explicitly that a detector with unresolved inner structure does behave as a structureless scalar source, we use that analysis to rederive the scalar version of a previous analysis of the accelerated electromagnetic charge, without appealing to the troublesome concept of zero-energy particles.Then, we recover these results when the detector energy gap is taken to be zero from the beginning. This vindicates the informal terminology zero-frequency Rindler modesas a shorthand for Rindler modes with arbitrarily small energy.In an Appendix, the mathematical behavior of the normal modes in the limit of small frequency is examined in more detail than before. The vexed (and somewhat ambiguous) question of whether coaccelerating observers detect the acceleration radiation can then be studied on a sound basis.Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271Department of Physics Texas AandM UniversityDepartment of Mathematics Texas AandM UniversityCentro de Ciências Naturais e Humanas Universidade Federal Do Abc, Avenida dos Estados, 5001Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271Universidade Estadual Paulista (UNESP)Texas AandM UniversityUniversidade Federal do ABC (UFABC)Cozzella, Gabriel [UNESP]Fulling, Stephen A.Landulfo, André G. S.Matsas, George E. A. [UNESP]2022-04-29T08:29:05Z2022-04-29T08:29:05Z2020-11-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.102.105016Physical Review D, v. 102, n. 10, 2020.2470-00292470-0010http://hdl.handle.net/11449/22887410.1103/PhysRevD.102.1050162-s2.0-85097167011Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2022-04-29T08:29:05Zoai:repositorio.unesp.br:11449/228874Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:35:51.019467Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors |
title |
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors |
spellingShingle |
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors Cozzella, Gabriel [UNESP] |
title_short |
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors |
title_full |
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors |
title_fullStr |
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors |
title_full_unstemmed |
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors |
title_sort |
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors |
author |
Cozzella, Gabriel [UNESP] |
author_facet |
Cozzella, Gabriel [UNESP] Fulling, Stephen A. Landulfo, André G. S. Matsas, George E. A. [UNESP] |
author_role |
author |
author2 |
Fulling, Stephen A. Landulfo, André G. S. Matsas, George E. A. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Texas AandM University Universidade Federal do ABC (UFABC) |
dc.contributor.author.fl_str_mv |
Cozzella, Gabriel [UNESP] Fulling, Stephen A. Landulfo, André G. S. Matsas, George E. A. [UNESP] |
description |
Although the thermal and radiative effects associated with a two-level quantum system undergoing acceleration are now widely understood and accepted, a surprising amount of controversy still surrounds the simpler and older problem of an accelerated classical charge. We argue that the analogy between these systems is more than superficial; there is a sense in which a UD detectorin a quantized scalar field effectively acts as a classical source for that field if the splitting of its energy levels is so small as to be ignored. After showing explicitly that a detector with unresolved inner structure does behave as a structureless scalar source, we use that analysis to rederive the scalar version of a previous analysis of the accelerated electromagnetic charge, without appealing to the troublesome concept of zero-energy particles.Then, we recover these results when the detector energy gap is taken to be zero from the beginning. This vindicates the informal terminology zero-frequency Rindler modesas a shorthand for Rindler modes with arbitrarily small energy.In an Appendix, the mathematical behavior of the normal modes in the limit of small frequency is examined in more detail than before. The vexed (and somewhat ambiguous) question of whether coaccelerating observers detect the acceleration radiation can then be studied on a sound basis. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-11-16 2022-04-29T08:29:05Z 2022-04-29T08:29:05Z |
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/10.1103/PhysRevD.102.105016 Physical Review D, v. 102, n. 10, 2020. 2470-0029 2470-0010 http://hdl.handle.net/11449/228874 10.1103/PhysRevD.102.105016 2-s2.0-85097167011 |
url |
http://dx.doi.org/10.1103/PhysRevD.102.105016 http://hdl.handle.net/11449/228874 |
identifier_str_mv |
Physical Review D, v. 102, n. 10, 2020. 2470-0029 2470-0010 10.1103/PhysRevD.102.105016 2-s2.0-85097167011 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus 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 |
|
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1808128832213876736 |