Quantum fields in toroidal topology
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , , |
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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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 |
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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 |
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