Renormalization of massless fields in the $(1,0)\oplus(0,1)$ representation
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| Format: | Preprint |
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2025
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| _version_ | 1866914178102460416 |
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| author | Rangel-Pantoja, Armando de la C. Napsuciale, M. Vaquera-Araujo, Carlos A. |
| author_facet | Rangel-Pantoja, Armando de la C. Napsuciale, M. Vaquera-Araujo, Carlos A. |
| contents | We study the one-loop renormalization of self-interacting massless fields in the $(1,0)\oplus(0,1)$ representation of the Restricted Lorentz Group. We work with a general model that represents the entire class of parity-invariant self-interacting massless theories that can be defined in this representation. It consists of a general free Lagrangian that reproduces the massless limit of three theories previously studied in the literature: the Joos-Weinberg, the Shay-Good/Hammer-McDonald-Pursey, and the Klein-Gordon-like one, as particular cases; along with an interacting Lagrangian containing all the independent dimension-4 parity-invariant self-interactions available in this representation. The model is found to be renormalizable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Renormalization of massless fields in the $(1,0)\oplus(0,1)$ representation Rangel-Pantoja, Armando de la C. Napsuciale, M. Vaquera-Araujo, Carlos A. High Energy Physics - Theory We study the one-loop renormalization of self-interacting massless fields in the $(1,0)\oplus(0,1)$ representation of the Restricted Lorentz Group. We work with a general model that represents the entire class of parity-invariant self-interacting massless theories that can be defined in this representation. It consists of a general free Lagrangian that reproduces the massless limit of three theories previously studied in the literature: the Joos-Weinberg, the Shay-Good/Hammer-McDonald-Pursey, and the Klein-Gordon-like one, as particular cases; along with an interacting Lagrangian containing all the independent dimension-4 parity-invariant self-interactions available in this representation. The model is found to be renormalizable. |
| title | Renormalization of massless fields in the $(1,0)\oplus(0,1)$ representation |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.17239 |