Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.75.065014 http://hdl.handle.net/11449/224874 |
Resumo: | We 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. |
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Repositório Institucional da UNESP |
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Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systemsWe 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.Instituto de Física Gleb Wataghin UNICAMP, P.O. Box 6165, 13083-970, Campinas, SPInstituto de Física Teórica UNESP, Rua Pamplona 145, 01405-900, São Paulo, SPInstituto de Física Teórica UNESP, Rua Pamplona 145, 01405-900, São Paulo, SPUniversidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (UNESP)Bernardini, A. E.Da Rocha, R. [UNESP]2022-04-28T20:15:40Z2022-04-28T20:15:40Z2007-03-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.75.065014Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 75, n. 6, 2007.1550-79981550-2368http://hdl.handle.net/11449/22487410.1103/PhysRevD.75.0650142-s2.0-33947403204Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review D - Particles, Fields, Gravitation and Cosmologyinfo:eu-repo/semantics/openAccess2022-04-28T20:15:40Zoai:repositorio.unesp.br:11449/224874Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:18:43.006495Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems |
title |
Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems |
spellingShingle |
Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems Bernardini, A. E. |
title_short |
Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems |
title_full |
Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems |
title_fullStr |
Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems |
title_full_unstemmed |
Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems |
title_sort |
Lorentz-violating dilatations in momentum space and some extensions on nonlinear actions of Lorentz-algebra-preserving systems |
author |
Bernardini, A. E. |
author_facet |
Bernardini, A. E. Da Rocha, R. [UNESP] |
author_role |
author |
author2 |
Da Rocha, R. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual de Campinas (UNICAMP) Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Bernardini, A. E. Da Rocha, R. [UNESP] |
description |
We 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. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-03-16 2022-04-28T20:15:40Z 2022-04-28T20:15:40Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevD.75.065014 Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 75, n. 6, 2007. 1550-7998 1550-2368 http://hdl.handle.net/11449/224874 10.1103/PhysRevD.75.065014 2-s2.0-33947403204 |
url |
http://dx.doi.org/10.1103/PhysRevD.75.065014 http://hdl.handle.net/11449/224874 |
identifier_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 75, n. 6, 2007. 1550-7998 1550-2368 10.1103/PhysRevD.75.065014 2-s2.0-33947403204 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129506652717056 |