Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems

dc.contributor.authorBernardini, A. E.
dc.contributor.authorda Rocha, R.
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:06:27Z
dc.date.available2014-05-20T14:06:27Z
dc.date.issued2007-03-01
dc.description.abstractWe work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models invariant under the corresponding deformed symmetries are presented with particular emphasis on deformed dilatation transformations. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided in order to preserve the Lorentz algebra. Two distinct cases are considered: a deformed dilatation transformation with a spacelike preferred direction and a very special relativity embedding with a lightlike preferred direction. In both analysis we consider the possibility of introducing quantum deformations of the corresponding symmetries such that the spacetime coordinates can be reconstructed and the particular form of the real space-momentum commutator remains covariant. Eventually feasible experiments, for which the nonlinear Lorentz dilatation effects here pointed out may be detectable, are suggested.en
dc.description.affiliationUniv Estadual Campinas, Inst Fis Gleb Wataghin, 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.format.extent10
dc.identifierhttp://dx.doi.org/10.1103/PhysRevD.75.065014
dc.identifier.citationPhysical Review D. College Pk: Amer Physical Soc, v. 75, n. 6, 10 p., 2007.
dc.identifier.doi10.1103/PhysRevD.75.065014
dc.identifier.fileWOS000245333600082.pdf
dc.identifier.issn1550-7998
dc.identifier.urihttp://hdl.handle.net/11449/23312
dc.identifier.wosWOS:000245333600082
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.ispartofPhysical Review D
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleLorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systemsen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
dcterms.rightsHolderAmer Physical Soc
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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