Reliability of the optimized perturbation theory in the 0-dimensional O(N) scalar field model

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dc.contributor.authorRosa, Derick S. [UNESP]
dc.contributor.authorFarias, R. L. S.
dc.contributor.authorRamos, Rudnei O.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal de Sergipe (UFS)
dc.contributor.institutionKent State Univ
dc.contributor.institutionUniversidade do Estado do Rio de Janeiro (UERJ)
dc.date.accessioned2018-11-26T17:06:23Z
dc.date.available2018-11-26T17:06:23Z
dc.date.issued2016-12-15
dc.description.abstractWe address the reliability of the Optimized Perturbation Theory (OPT) in the context of the 0-dimensional O(N) scalar field model. The effective potential, the self-energy and the 1PI four-point Green's function for the model are computed using different optimization schemes and the results contrasted to the exact results for the model. Our results are also compared to those obtained with the 1/N-expansion and with those from ordinary perturbation theory. The OPT results are shown to be stable even at large couplings and to have better convergence properties than the ones produced in the 1/N-expansion. It is also shown that the principle of minimal sensitive optimization procedure used in conjunction with the OPT method tends to always produce better results, in particular when applied directly to the self-energy. (C) 2016 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271,Bloco 2, BR-01140070 Sao Paulo, SP, Brazil
dc.description.affiliationUniv Fed Santa Maria, Dept Fis, BR-97105900 Santa Maria, RS, Brazil
dc.description.affiliationKent State Univ, Dept Phys, Kent, OH 44242 USA
dc.description.affiliationUniv Estado Rio de Janeiro, Dept Fis Teor, BR-20550013 Rio De Janeiro, RJ, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271,Bloco 2, BR-01140070 Sao Paulo, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ)
dc.description.sponsorshipIdCNPq: 475110/2013-7
dc.description.sponsorshipIdCNPq: 232766/2014-2
dc.description.sponsorshipIdCNPq: 308828/2013-5
dc.description.sponsorshipIdCNPq: 303377/2013-5
dc.description.sponsorshipIdCNPq: 147716/2014.4
dc.description.sponsorshipIdFAPERJ: E-26/201.424/2014
dc.format.extent11-26
dc.identifierhttp://dx.doi.org/10.1016/j.physa.2016.07.067
dc.identifier.citationPhysica A-statistical Mechanics And Its Applications. Amsterdam: Elsevier Science Bv, v. 464, p. 11-26, 2016.
dc.identifier.doi10.1016/j.physa.2016.07.067
dc.identifier.fileWOS000384382600002.pdf
dc.identifier.issn0378-4371
dc.identifier.urihttp://hdl.handle.net/11449/161972
dc.identifier.wosWOS:000384382600002
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofPhysica A-statistical Mechanics And Its Applications
dc.relation.ispartofsjr0,773
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subject0-dimensional O(N) scalar field model
dc.subjectOptimized perturbation theory
dc.subject1/N-expansion
dc.titleReliability of the optimized perturbation theory in the 0-dimensional O(N) scalar field modelen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.

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