All actions for free massive higher-spin fields
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913700148936704 |
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| author | Delplanque, William |
| author_facet | Delplanque, William |
| contents | Massive higher-spin states/fields appear in the effective description of various systems from hadrons and nuclei to black holes, whenever the point-particle approximation is justified, as well as in the bottom-up approaches to the quantum gravity problem. In four dimensions the actions for massive higher-spin fields utilize either the Singh-Hagen/Zinoviev set of auxiliary fields or a single chiral field, which is an $sl(2,\mathbb{C})$ spin-tensor of type $(2s,0)$, generalizing the Chalmers-Siegel approach. We show that these two actions are on the opposite ends of a discrete family of actions where the physical field is a spin-tensor of type $(s+k,s-k)$. The $(2s-1,1)$- and $(2s-2,2)$-cases generalize the Proca and the Fierz-Pauli actions, respectively, to all spins. A similar family of second-order actions exists for fermionic higher-spin fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | All actions for free massive higher-spin fields Delplanque, William High Energy Physics - Theory Massive higher-spin states/fields appear in the effective description of various systems from hadrons and nuclei to black holes, whenever the point-particle approximation is justified, as well as in the bottom-up approaches to the quantum gravity problem. In four dimensions the actions for massive higher-spin fields utilize either the Singh-Hagen/Zinoviev set of auxiliary fields or a single chiral field, which is an $sl(2,\mathbb{C})$ spin-tensor of type $(2s,0)$, generalizing the Chalmers-Siegel approach. We show that these two actions are on the opposite ends of a discrete family of actions where the physical field is a spin-tensor of type $(s+k,s-k)$. The $(2s-1,1)$- and $(2s-2,2)$-cases generalize the Proca and the Fierz-Pauli actions, respectively, to all spins. A similar family of second-order actions exists for fermionic higher-spin fields. |
| title | All actions for free massive higher-spin fields |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.03463 |