Renormalization of massless matter fields in the $(1,0)\oplus(0,1)$ representation
Armando de la C. Rangel-Pantoja, M. Napsuciale, Carlos A. Vaquera-Araujo
Published: 2025/9/21
Abstract
We study the one-loop renormalization of massless matter fields in the $(1,0)\oplus(0,1)$ representation of the Restricted Lorentz Group. The model is constructed with the most general parity-invariant kinetic term and includes all the independent dimension-4 parity-invariant self-interactions available in this representation. Its free Lagrangian 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. The model is found to be renormalizable.