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. [UNESP]
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T20:15:40Z
dc.date.available2022-04-28T20:15:40Z
dc.date.issued2007-03-16
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. © 2007 The American Physical Society.en
dc.description.affiliationInstituto de Física Gleb Wataghin UNICAMP, P.O. Box 6165, 13083-970, Campinas, SP
dc.description.affiliationInstituto de Física Teórica UNESP, Rua Pamplona 145, 01405-900, São Paulo, SP
dc.description.affiliationUnespInstituto de Física Teórica UNESP, Rua Pamplona 145, 01405-900, São Paulo, SP
dc.identifierhttp://dx.doi.org/10.1103/PhysRevD.75.065014
dc.identifier.citationPhysical Review D - Particles, Fields, Gravitation and Cosmology, v. 75, n. 6, 2007.
dc.identifier.doi10.1103/PhysRevD.75.065014
dc.identifier.issn1550-7998
dc.identifier.issn1550-2368
dc.identifier.scopus2-s2.0-33947403204
dc.identifier.urihttp://hdl.handle.net/11449/224874
dc.language.isoeng
dc.relation.ispartofPhysical Review D - Particles, Fields, Gravitation and Cosmology
dc.sourceScopus
dc.titleLorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systemsen
dc.typeArtigo

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