1205.1557 (Carlos A. Vaquera-Araujo et al.)

Renormalization of the QED of self-interacting second order spin 1/2
fermions    [PDF]

Carlos A. Vaquera-Araujo, Mauro Napsuciale, Rene Angeles-Martinez

We study the renormalization at one loop level of the electrodynamics of spin 1/2 fermions in the Poincar\'e projector formalism 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 $g$. In the absence of tree-level fermion self-interactions, we recover the pure QED of second order fermions, which turns out to be renormalizable only for $g=\pm 2$. Turning off the electromagnetic interaction we obtain a renormalizable Nambu-Jona-Lasinio-like model with second order fermions.

View original: http://arxiv.org/abs/1205.1557