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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2401.18004 |
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| _version_ | 1866909254723567616 |
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| author | Maris, Valentine Wallet, Jean-Christophe |
| author_facet | Maris, Valentine Wallet, Jean-Christophe |
| contents | We construct a gauge theory model on the 4-dimensional $ρ$-Minkowski space-time, a particular deformation of the Minkowski space-time recently considered. The corresponding star product results from a combination of Weyl quantization map and properties of the convolution algebra of the special Euclidean group. We use noncommutative differential calculi based on twisted derivations together with a twisted notion of noncommutative connection. The twisted derivations pertain to the Hopf algebra of $ρ$-deformed translations, a Hopf subalgebra of the $ρ$-deformed Poincaré algebra which can be viewed as defining the quantum symmetries of the $ρ$-Minkowski space-time. The gauge theory model is left invariant under the action of the $ρ$-deformed Poincaré algebra. The kinetic part of the action is found to coincide with the one of the usual (commutative) electrodynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_18004 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gauge theory on $ρ$-Minkowski space-time Maris, Valentine Wallet, Jean-Christophe High Energy Physics - Theory Mathematical Physics We construct a gauge theory model on the 4-dimensional $ρ$-Minkowski space-time, a particular deformation of the Minkowski space-time recently considered. The corresponding star product results from a combination of Weyl quantization map and properties of the convolution algebra of the special Euclidean group. We use noncommutative differential calculi based on twisted derivations together with a twisted notion of noncommutative connection. The twisted derivations pertain to the Hopf algebra of $ρ$-deformed translations, a Hopf subalgebra of the $ρ$-deformed Poincaré algebra which can be viewed as defining the quantum symmetries of the $ρ$-Minkowski space-time. The gauge theory model is left invariant under the action of the $ρ$-deformed Poincaré algebra. The kinetic part of the action is found to coincide with the one of the usual (commutative) electrodynamics. |
| title | Gauge theory on $ρ$-Minkowski space-time |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2401.18004 |