Renormalization of massless fields in the $(1,0)\oplus(0,1)$ representation
High Energy Physics - Theory
2025-12-04 v2
Abstract
We study the one-loop renormalization of self-interacting massless fields in the 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.
Keywords
Cite
@article{arxiv.2509.17239,
title = {Renormalization of massless fields in the $(1,0)\oplus(0,1)$ representation},
author = {Armando de la C. Rangel-Pantoja and M. Napsuciale and Carlos A. Vaquera-Araujo},
journal= {arXiv preprint arXiv:2509.17239},
year = {2025}
}
Comments
15 pages