The electromagnetic field in Poisson gauge theory: the groupoidal approach
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866910021357404160 |
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| author | Di Cosmo, Fabio Kupriyanov, Vladislav G. Vitale, Patrizia |
| author_facet | Di Cosmo, Fabio Kupriyanov, Vladislav G. Vitale, Patrizia |
| contents | We consider the problem of defining the field strength of abelian potentials when the spacetime is a Poisson manifold, within the groupoidal approach. The natural definition in terms of gauge invariant momenta is proved to be equivalent to covariant and invariant tensors of a local symplectic groupoid representing a symplectic realization of the Poisson manifold. A Poisson Chern-Simons model is then proposed and its equations of motion are shortly discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04858 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The electromagnetic field in Poisson gauge theory: the groupoidal approach Di Cosmo, Fabio Kupriyanov, Vladislav G. Vitale, Patrizia High Energy Physics - Theory Mathematical Physics We consider the problem of defining the field strength of abelian potentials when the spacetime is a Poisson manifold, within the groupoidal approach. The natural definition in terms of gauge invariant momenta is proved to be equivalent to covariant and invariant tensors of a local symplectic groupoid representing a symplectic realization of the Poisson manifold. A Poisson Chern-Simons model is then proposed and its equations of motion are shortly discussed. |
| title | The electromagnetic field in Poisson gauge theory: the groupoidal approach |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2510.04858 |