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/11449/209655 |
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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Repositório Institucional da UNESP |
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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 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 |
|
_version_ |
1808128480130367488 |