Boundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theory

Detalhes bibliográficos
Autor(a) principal: Malbouisson, Jorge Mário Carvalho
Data de Publicação: 2002
Outros Autores: Malbouisson, Adolfo Pedro Carvalho
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14662
Resumo: Texto completo: acesso restrito. p. 2263–2273
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spelling Malbouisson, Jorge Mário CarvalhoMalbouisson, Adolfo Pedro CarvalhoMalbouisson, Jorge Mário CarvalhoMalbouisson, Adolfo Pedro Carvalho2014-02-21T18:40:43Z20020305-4470http://repositorio.ufba.br/ri/handle/ri/14662v. 35, n. 9Texto completo: acesso restrito. p. 2263–2273Using the Matsubara formalism, we consider the massive (λvarphi4)D vector N-component model in the large-N limit, the system being confined between two infinite parallel planes. We investigate the behaviour of the coupling constant as a function of the separation L between the planes. For the Wick-ordered model in D = 3 we are able to give an exact formula to the L dependence of the coupling constant. For the non-Wick-ordered model we indicate how expressions for the coupling constant and the mass can be obtained for arbitrary dimension D in the small-L regime. Closed exact formulae for the L-dependent renormalized coupling constant and mass are obtained in D = 3 and their behaviours as functions of L are displayed. We are also able to obtain, in generic dimension D, an equation for the critical value of L corresponding to a second-order phase transition in terms of the Riemann zeta-function. In D = 3 an implicit formula for the critical L is given.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2014-01-28T14:19:37Z No. of bitstreams: 1 J. M. C. Malbouisson.pdf: 234730 bytes, checksum: b1d0d4e94963f01f8313cf876f996eca (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2014-02-21T18:40:43Z (GMT) No. of bitstreams: 1 J. M. C. Malbouisson.pdf: 234730 bytes, checksum: b1d0d4e94963f01f8313cf876f996eca (MD5)Made available in DSpace on 2014-02-21T18:40:43Z (GMT). No. of bitstreams: 1 J. M. C. Malbouisson.pdf: 234730 bytes, checksum: b1d0d4e94963f01f8313cf876f996eca (MD5) Previous issue date: 2002http://dx.doi.org/ doi:10.1088/0305-4470/35/9/315reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBABoundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theoryJournal of Physics -London- a Mathematical and Generalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALJ. M. C. Malbouisson.pdfJ. M. C. Malbouisson.pdfapplication/pdf234730https://repositorio.ufba.br/bitstream/ri/14662/1/J.%20M.%20C.%20Malbouisson.pdfb1d0d4e94963f01f8313cf876f996ecaMD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14662/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTJ. M. C. Malbouisson.pdf.txtJ. M. C. Malbouisson.pdf.txtExtracted texttext/plain29720https://repositorio.ufba.br/bitstream/ri/14662/3/J.%20M.%20C.%20Malbouisson.pdf.txtfd242e219c054eaf5c1ebdfea7a6edffMD53ri/146622022-07-05 14:03:49.025oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:49Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Boundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theory
dc.title.alternative.pt_BR.fl_str_mv Journal of Physics -London- a Mathematical and General
title Boundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theory
spellingShingle Boundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theory
Malbouisson, Jorge Mário Carvalho
title_short Boundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theory
title_full Boundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theory
title_fullStr Boundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theory
title_full_unstemmed Boundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theory
title_sort Boundary dependence of the coupling constant and the mass in the vector N-component (λvarphi4)D theory
author Malbouisson, Jorge Mário Carvalho
author_facet Malbouisson, Jorge Mário Carvalho
Malbouisson, Adolfo Pedro Carvalho
author_role author
author2 Malbouisson, Adolfo Pedro Carvalho
author2_role author
dc.contributor.author.fl_str_mv Malbouisson, Jorge Mário Carvalho
Malbouisson, Adolfo Pedro Carvalho
Malbouisson, Jorge Mário Carvalho
Malbouisson, Adolfo Pedro Carvalho
description Texto completo: acesso restrito. p. 2263–2273
publishDate 2002
dc.date.issued.fl_str_mv 2002
dc.date.accessioned.fl_str_mv 2014-02-21T18:40:43Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/14662
dc.identifier.issn.none.fl_str_mv 0305-4470
dc.identifier.number.pt_BR.fl_str_mv v. 35, n. 9
identifier_str_mv 0305-4470
v. 35, n. 9
url http://repositorio.ufba.br/ri/handle/ri/14662
dc.language.iso.fl_str_mv eng
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