Quantum fields in toroidal topology

Detalhes bibliográficos
Autor(a) principal: Santana, Ademir Eugênio de
Data de Publicação: 2011
Outros Autores: Malbouisson, Jorge Mário Carvalho, Malbouisson, Adolfo Pedro Carvalho, Khanna, Faqir C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/5445
Resumo: texto completo: acesso restrito. p. 2634–2657.
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spelling Santana, Ademir Eugênio deMalbouisson, Jorge Mário CarvalhoMalbouisson, Adolfo Pedro CarvalhoKhanna, Faqir C.Santana, Ademir Eugênio deMalbouisson, Jorge Mário CarvalhoMalbouisson, Adolfo Pedro CarvalhoKhanna, Faqir C.2012-02-25T12:08:48Z20110003-4916http://www.repositorio.ufba.br/ri/handle/ri/5445v. 326.texto completo: acesso restrito. p. 2634–2657.The standard representation of c∗-algebra is used to describe fields in compactified space–time dimensions characterized by topologies of the type Γ d D = (S1)d × MD−d. The modular operator is generalized to introduce representations of isometry groups. The Poincaré symmetry is analyzed and then we construct the modular representation by using linear transformations in the field modes, similar to the Bogoliubov transformation. This provides a mechanism for compactification of the Minkowski space–time, which follows as a generalization of the Fourier integral representation of the propagator at finite temperature. An important result is that the 2 × 2 representation of the real-time formalism is not needed. The end result on calculating observables is described as a condensate in the ground state. We initially analyze the free Klein–Gordon and Dirac fields, and then formulate non-abelian gauge theories in Γ d D . Using the S-matrix, the decay of particles is calculated in order to show the effect of the compactification.Submitted by Ana Valéria de Jesus Moura (anavaleria_131@hotmail.com) on 2012-02-25T12:08:48Z No. of bitstreams: 1 nps51.tmp.pdf: 232194 bytes, checksum: 5099719320ff46480d8d7a89f0e8dcf2 (MD5)Made available in DSpace on 2012-02-25T12:08:48Z (GMT). No. of bitstreams: 1 nps51.tmp.pdf: 232194 bytes, checksum: 5099719320ff46480d8d7a89f0e8dcf2 (MD5) Previous issue date: 2011doi:10.1016/j.aop.2011.07.005reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAQuantum fieldsToroidal topologyc∗- and Lie algebraCompactificationQuantum fields in toroidal topologyAnnals of Physicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINALnps51.tmp.pdfnps51.tmp.pdfapplication/pdf232194https://repositorio.ufba.br/bitstream/ri/5445/1/nps51.tmp.pdf5099719320ff46480d8d7a89f0e8dcf2MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/5445/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXTnps51.tmp.pdf.txtnps51.tmp.pdf.txtExtracted texttext/plain59793https://repositorio.ufba.br/bitstream/ri/5445/3/nps51.tmp.pdf.txtaa93861ee121b3f246aed88d2f09f924MD53ri/54452022-07-05 14:03:48.068oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:48Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Quantum fields in toroidal topology
dc.title.alternative.pt_BR.fl_str_mv Annals of Physics
title Quantum fields in toroidal topology
spellingShingle Quantum fields in toroidal topology
Santana, Ademir Eugênio de
Quantum fields
Toroidal topology
c∗- and Lie algebra
Compactification
title_short Quantum fields in toroidal topology
title_full Quantum fields in toroidal topology
title_fullStr Quantum fields in toroidal topology
title_full_unstemmed Quantum fields in toroidal topology
title_sort Quantum fields in toroidal topology
author Santana, Ademir Eugênio de
author_facet Santana, Ademir Eugênio de
Malbouisson, Jorge Mário Carvalho
Malbouisson, Adolfo Pedro Carvalho
Khanna, Faqir C.
author_role author
author2 Malbouisson, Jorge Mário Carvalho
Malbouisson, Adolfo Pedro Carvalho
Khanna, Faqir C.
author2_role author
author
author
dc.contributor.author.fl_str_mv Santana, Ademir Eugênio de
Malbouisson, Jorge Mário Carvalho
Malbouisson, Adolfo Pedro Carvalho
Khanna, Faqir C.
Santana, Ademir Eugênio de
Malbouisson, Jorge Mário Carvalho
Malbouisson, Adolfo Pedro Carvalho
Khanna, Faqir C.
dc.subject.por.fl_str_mv Quantum fields
Toroidal topology
c∗- and Lie algebra
Compactification
topic Quantum fields
Toroidal topology
c∗- and Lie algebra
Compactification
description texto completo: acesso restrito. p. 2634–2657.
publishDate 2011
dc.date.issued.fl_str_mv 2011
dc.date.accessioned.fl_str_mv 2012-02-25T12:08:48Z
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://www.repositorio.ufba.br/ri/handle/ri/5445
dc.identifier.issn.none.fl_str_mv 0003-4916
dc.identifier.number.pt_BR.fl_str_mv v. 326.
identifier_str_mv 0003-4916
v. 326.
url http://www.repositorio.ufba.br/ri/handle/ri/5445
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv doi:10.1016/j.aop.2011.07.005
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
instacron:UFBA
instname_str Universidade Federal da Bahia (UFBA)
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collection Repositório Institucional da UFBA
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