Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors

Detalhes bibliográficos
Autor(a) principal: Cozzella, Gabriel [UNESP]
Data de Publicação: 2020
Outros Autores: Fulling, Stephen A., Landulfo, Andre G. S., Matsas, George E. A. [UNESP]
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/11449/209655
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 detector in 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 modes as 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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spelling 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 detector in 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 modes as 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.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, BrazilTexas A&M Univ, Dept Phys, College Stn, TX 77843 USATexas A&M Univ, Dept Math, College Stn, TX 77843 USAUniv Fed ABC, Ctr Ciencias Nat & Humanas, Ave Estados 5001, BR-09210580 Santo Andre, SP, BrazilUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, BrazilFAPESP: 2016/08025-0CNPq: 301544/2018-2Amer Physical SocUniversidade Estadual Paulista (Unesp)Texas A&M UnivUniversidade Federal do ABC (UFABC)Cozzella, Gabriel [UNESP]Fulling, Stephen A.Landulfo, Andre G. S.Matsas, George E. A. [UNESP]2021-06-25T12:25:10Z2021-06-25T12:25:10Z2020-11-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article11http://dx.doi.org/10.1103/PhysRevD.102.105016Physical Review D. College Pk: Amer Physical Soc, v. 102, n. 10, 11 p., 2020.2470-0010http://hdl.handle.net/11449/20965510.1103/PhysRevD.102.105016WOS:000589606900012Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2021-10-23T19:49:56Zoai:repositorio.unesp.br:11449/209655Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:12:39.645083Repositório 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, Andre G. S.
Matsas, George E. A. [UNESP]
author_role author
author2 Fulling, Stephen A.
Landulfo, Andre G. S.
Matsas, George E. A. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Texas A&M Univ
Universidade Federal do ABC (UFABC)
dc.contributor.author.fl_str_mv Cozzella, Gabriel [UNESP]
Fulling, Stephen A.
Landulfo, Andre 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 detector in 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 modes as 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
2021-06-25T12:25:10Z
2021-06-25T12:25:10Z
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. College Pk: Amer Physical Soc, v. 102, n. 10, 11 p., 2020.
2470-0010
http://hdl.handle.net/11449/209655
10.1103/PhysRevD.102.105016
WOS:000589606900012
url http://dx.doi.org/10.1103/PhysRevD.102.105016
http://hdl.handle.net/11449/209655
identifier_str_mv Physical Review D. College Pk: Amer Physical Soc, v. 102, n. 10, 11 p., 2020.
2470-0010
10.1103/PhysRevD.102.105016
WOS:000589606900012
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.format.none.fl_str_mv 11
dc.publisher.none.fl_str_mv Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
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
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