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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/23186
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dc.contributor.authorDa Rocha, R.-
dc.contributor.authorPereira, J. G.-
dc.date.accessioned2014-05-20T14:06:05Z-
dc.date.accessioned2016-10-25T17:11:25Z-
dc.date.available2014-05-20T14:06:05Z-
dc.date.available2016-10-25T17:11:25Z-
dc.date.issued2007-10-01-
dc.identifierhttp://dx.doi.org/10.1142/S0218271807010900-
dc.identifier.citationInternational Journal of Modern Physics D. Singapore: World Scientific Publ Co Pte Ltd, v. 16, n. 10, p. 1653-1667, 2007.-
dc.identifier.issn0218-2718-
dc.identifier.urihttp://hdl.handle.net/11449/23186-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/23186-
dc.description.abstractWe show that the Einstein-Hilbert, the Einstein-Palatini, and the Holst actions can be derived from the Quadratic Spinor Lagrangian (QSL), when the three classes of Dirac spinor fields, under Lounesto spinor field classification, are considered. To each one of these classes, there corresponds an unique kind of action for a covariant gravity theory. In other words, it is shown to exist a one-to-one correspondence between the three classes of non-equivalent solutions of the Dirac equation, and Einstein-Hilbert, Einstein-Palatini, and Holst actions. Furthermore, it arises naturally, from Lounesto spinor field classification, that any other class of spinor field-Weyl, Majorana, flagpole, or flag-dipole spinor fields-yields a trivial (zero) QSL, up to a boundary term. To investigate this boundary term, we do not impose any constraint on the Dirac spinor field, and consequently we obtain new terms in the boundary component of the QSL. In the particular case of a teleparallel connection, an axial torsion one-form current density is obtained. New terms are also obtained in the corresponding Hamiltonian formalism. We then discuss how these new terms could shed new light on more general investigations.en
dc.format.extent1653-1667-
dc.language.isoeng-
dc.publisherWorld Scientific Publ Co Pte Ltd-
dc.sourceWeb of Science-
dc.subjectquadratic spinor Lagrangianpt
dc.subjectaxial torsionpt
dc.subjectspinor fieldspt
dc.subjectHolst actionpt
dc.titleThe quadratic spinor Lagrangian, axial torsion current and generalizationsen
dc.typeoutro-
dc.contributor.institutionUniversidade Federal do ABC (UFABC)-
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.description.affiliationUniversidade Federal do ABC (UFABC), Ctr Math Comput & Cognicao, BR-09210170 Santo Andre, SP, Brazil-
dc.description.affiliationUniv Estadual Campinas, Inst Fis Gleb Wataghin, DRCC, BR-13083970 Campinas, SP, Brazil-
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil-
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil-
dc.identifier.doi10.1142/S0218271807010900-
dc.identifier.wosWOS:000252849500012-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofInternational Journal of Modern Physics D-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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