Renormalization of the QED of self-interacting second order spin 1/2 fermions
Abstract
We study the one-loop level renormalization of the electrodynamics of spin 1/2 fermions in the Poincar\'e projector formalism, in arbitrary covariant gauge and including fermion self-interactions, which are dimension four operators in this framework. We show that the model is renormalizable for arbitrary values of the tree level gyromagnetic factor g within the validity region of the perturbative expansion, \alpha g^2 << 1. In the absence of tree level fermion self-interactions, we recover the pure QED of second order fermions, which is renormalizable only for |g|=2. Turning off the electromagnetic interaction we obtain a renormalizable Nambu-Jona-Lasinio-like model with second order fermions in four space-time dimensions.
Keywords
Cite
@article{arxiv.1205.1557,
title = {Renormalization of the QED of self-interacting second order spin 1/2 fermions},
author = {Carlos A. Vaquera-Araujo and Mauro Napsuciale and Rene Angeles-Martinez},
journal= {arXiv preprint arXiv:1205.1557},
year = {2013}
}
Comments
32 pages, 9 figures. Published version