Gauge Theories on quantum Minkowski spaces: $ρ$ versus $κ$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915776641892352 |
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| author | Wallet, Jean-Christophe |
| author_facet | Wallet, Jean-Christophe |
| contents | The $ρ$-Minkowski space-time, a Lie-algebraic deformation of the usual Minkowski space-time is considered. A star-product realization of this quantum space-time together with the characterization of the deformed Poincaré symmetry acting on it are presented. It is shown that appearance of UV/IR mixing is expected already in scalar field theories on $ρ$-Minkowski. Classical and one-loop features of a typical gauge theory on this quantum space-time are presented and critically compared to the situation for $κ$-Minkowski. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07922 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gauge Theories on quantum Minkowski spaces: $ρ$ versus $κ$ Wallet, Jean-Christophe High Energy Physics - Theory Mathematical Physics The $ρ$-Minkowski space-time, a Lie-algebraic deformation of the usual Minkowski space-time is considered. A star-product realization of this quantum space-time together with the characterization of the deformed Poincaré symmetry acting on it are presented. It is shown that appearance of UV/IR mixing is expected already in scalar field theories on $ρ$-Minkowski. Classical and one-loop features of a typical gauge theory on this quantum space-time are presented and critically compared to the situation for $κ$-Minkowski. |
| title | Gauge Theories on quantum Minkowski spaces: $ρ$ versus $κ$ |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2503.07922 |