2025/09/21 by Armando de la C. Rangel-Pantoja, Rangel-Pantoja, Armando de la C., M. Napsuciale +3
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2509.17239
openalex publication_date 2025/09/21 · openalex created_date 2025/10/16 · openalex updated_date 2026/07/30
We study the one-loop renormalization of self-interacting massless fields in the (1,0)⊕(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.