Non-Lorentzian expansions of the Lorentz force and kinematical algebras
Abstract We consider non-Lorentzian expansions, Galilean and Carrollian, of the Lorentz force equation in which both the particle position and the electro-magnetic field are expanded. There are two well-known limits in the case of a constant field, called electric and magnetic, that are studied sepa...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)023 |
| _version_ | 1797363711472566272 |
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| author | José Luis V. Cerdeira Joaquim Gomis Axel Kleinschmidt |
| author_facet | José Luis V. Cerdeira Joaquim Gomis Axel Kleinschmidt |
| author_sort | José Luis V. Cerdeira |
| collection | DOAJ |
| description | Abstract We consider non-Lorentzian expansions, Galilean and Carrollian, of the Lorentz force equation in which both the particle position and the electro-magnetic field are expanded. There are two well-known limits in the case of a constant field, called electric and magnetic, that are studied separately. We show that the resulting equations of motion follow equivalently from considering a non-linear realisation of a certain infinite-dimensional algebras. |
| first_indexed | 2024-03-08T16:24:53Z |
| format | Article |
| id | doaj.art-07486069679a4fdb82eefd8b22f857d3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T16:24:53Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-07486069679a4fdb82eefd8b22f857d32024-01-07T12:05:50ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024113110.1007/JHEP01(2024)023Non-Lorentzian expansions of the Lorentz force and kinematical algebrasJosé Luis V. Cerdeira0Joaquim Gomis1Axel Kleinschmidt2Departament de Física Quàntica i Astrofísica, and Institut de Ciències del Cosmos (ICCUB), Universitat de BarcelonaDepartament de Física Quàntica i Astrofísica, and Institut de Ciències del Cosmos (ICCUB), Universitat de BarcelonaMax-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutAbstract We consider non-Lorentzian expansions, Galilean and Carrollian, of the Lorentz force equation in which both the particle position and the electro-magnetic field are expanded. There are two well-known limits in the case of a constant field, called electric and magnetic, that are studied separately. We show that the resulting equations of motion follow equivalently from considering a non-linear realisation of a certain infinite-dimensional algebras.https://doi.org/10.1007/JHEP01(2024)023Space-Time SymmetriesGlobal Symmetries |
| spellingShingle | José Luis V. Cerdeira Joaquim Gomis Axel Kleinschmidt Non-Lorentzian expansions of the Lorentz force and kinematical algebras Journal of High Energy Physics Space-Time Symmetries Global Symmetries |
| title | Non-Lorentzian expansions of the Lorentz force and kinematical algebras |
| title_full | Non-Lorentzian expansions of the Lorentz force and kinematical algebras |
| title_fullStr | Non-Lorentzian expansions of the Lorentz force and kinematical algebras |
| title_full_unstemmed | Non-Lorentzian expansions of the Lorentz force and kinematical algebras |
| title_short | Non-Lorentzian expansions of the Lorentz force and kinematical algebras |
| title_sort | non lorentzian expansions of the lorentz force and kinematical algebras |
| topic | Space-Time Symmetries Global Symmetries |
| url | https://doi.org/10.1007/JHEP01(2024)023 |
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