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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2501.12021 |
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| _version_ | 1866908314460225536 |
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| author | van Holten, Jan W. |
| author_facet | van Holten, Jan W. |
| contents | The classical dynamics of particles with (non-)abelian charges and spin moving on curved manifolds is established in the Poisson-Hamilton framework. Equations of motion are derived for the minimal quadratic Hamiltonian and some extensions involving spin-dependent interactions. It is shown that these equations of motion coincide with the consistency conditions for current and energy-momentum conservation. The classical equations cannot be derived from an action principle without extending the model. One way to overcome this problem is the introduction of anticommuting Grassmann co-ordinates. A systematic derivation of constants of motion based on symmetries of the background fields is presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12021 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classical dynamics of particles with non-abelian gauge charges van Holten, Jan W. High Energy Physics - Theory General Relativity and Quantum Cosmology The classical dynamics of particles with (non-)abelian charges and spin moving on curved manifolds is established in the Poisson-Hamilton framework. Equations of motion are derived for the minimal quadratic Hamiltonian and some extensions involving spin-dependent interactions. It is shown that these equations of motion coincide with the consistency conditions for current and energy-momentum conservation. The classical equations cannot be derived from an action principle without extending the model. One way to overcome this problem is the introduction of anticommuting Grassmann co-ordinates. A systematic derivation of constants of motion based on symmetries of the background fields is presented. |
| title | Classical dynamics of particles with non-abelian gauge charges |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2501.12021 |