Bertranďs Theorem and the Double Copy of Relativistic Field Theories
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916273271603200 |
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| author | de Neeling, Dijs Roest, Diederik Seri, Marcello Waalkens, Holger |
| author_facet | de Neeling, Dijs Roest, Diederik Seri, Marcello Waalkens, Holger |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02067 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bertranďs Theorem and the Double Copy of Relativistic Field Theories de Neeling, Dijs Roest, Diederik Seri, Marcello Waalkens, Holger High Energy Physics - Theory General Relativity and Quantum Cosmology 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. |
| title | Bertranďs Theorem and the Double Copy of Relativistic Field Theories |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2406.02067 |