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arXiv · 2509.17239

Renormalization of massless fields in the $(1,0)\oplus(0,1)$ representation

Armando de la C. Rangel-Pantoja·M. Napsuciale·Carlos A. Vaquera-Araujo
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Abstract

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.

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Armando de la C. Rangel-Pantoja, M. Napsuciale, Carlos A. Vaquera-Araujo. 2025-09-21. Renormalization of massless fields in the $(1,0)\oplus(0,1)$ representation. https://arxiv.org/abs/2509.17239

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