Bertrand’s theorem and the double copy of relativistic field theories
Abstract Which relativistic field theories give rise to Kepler dynamics in the two-body problem? We consider a class of Hamiltonians that is the unique relativistic extension of the Kepler problem preserving its so(4) algebra, and have orbits related through time reparametrisation to orbits of the o...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)216 |
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| _version_ | 1850162611459457024 |
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| author | Dijs de Neeling Diederik Roest Marcello Seri Holger Waalkens |
| author_facet | Dijs de Neeling Diederik Roest Marcello Seri Holger Waalkens |
| author_sort | Dijs de Neeling |
| collection | DOAJ |
| description | Abstract Which relativistic field theories give rise to Kepler dynamics in the two-body problem? We consider a class of Hamiltonians that is the unique relativistic extension of the Kepler problem preserving its so(4) algebra, and have orbits related through time reparametrisation to orbits of the original Kepler problem. For three explicit examples, we give a natural interpretation in terms of spin-0,-1 and -2 interacting field theories in 5D. These are organically connected via the classical double copy, which therefore preserves maximal superintegrability. |
| format | Article |
| id | doaj-art-9e1f42df6a314907bad8e7b6cef4d2d8 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9e1f42df6a314907bad8e7b6cef4d2d82025-08-20T02:22:32ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024811710.1007/JHEP08(2024)216Bertrand’s theorem and the double copy of relativistic field theoriesDijs de Neeling0Diederik Roest1Marcello Seri2Holger Waalkens3Van Swinderen Institute for Particle Physics and Gravity, University of GroningenVan Swinderen Institute for Particle Physics and Gravity, University of GroningenBernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of GroningenBernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of GroningenAbstract Which relativistic field theories give rise to Kepler dynamics in the two-body problem? We consider a class of Hamiltonians that is the unique relativistic extension of the Kepler problem preserving its so(4) algebra, and have orbits related through time reparametrisation to orbits of the original Kepler problem. For three explicit examples, we give a natural interpretation in terms of spin-0,-1 and -2 interacting field theories in 5D. These are organically connected via the classical double copy, which therefore preserves maximal superintegrability.https://doi.org/10.1007/JHEP08(2024)216Black HolesClassical Theories of GravitySpace-Time Symmetries |
| spellingShingle | Dijs de Neeling Diederik Roest Marcello Seri Holger Waalkens Bertrand’s theorem and the double copy of relativistic field theories Journal of High Energy Physics Black Holes Classical Theories of Gravity Space-Time Symmetries |
| title | Bertrand’s theorem and the double copy of relativistic field theories |
| title_full | Bertrand’s theorem and the double copy of relativistic field theories |
| title_fullStr | Bertrand’s theorem and the double copy of relativistic field theories |
| title_full_unstemmed | Bertrand’s theorem and the double copy of relativistic field theories |
| title_short | Bertrand’s theorem and the double copy of relativistic field theories |
| title_sort | bertrand s theorem and the double copy of relativistic field theories |
| topic | Black Holes Classical Theories of Gravity Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP08(2024)216 |
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