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arXiv · 1205.1557

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

Carlos A. Vaquera-Araujo·Mauro Napsuciale·Rene Angeles-Martinez
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Abstract

We study the one-loop level renormalization of the electrodynamics of spin 1/2 fermions in the Poincaré 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, αg^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.

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Carlos A. Vaquera-Araujo, Mauro Napsuciale, Rene Angeles-Martinez. 2013-01-02. Renormalization of the QED of self-interacting second order spin 1/2 fermions. https://doi.org/10.1007/jhep01(2013)011

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