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 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 f...

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Bibliographic Details
Published in:The journal of high energy physics 2013-01, Vol.2013 (1), p.1
Main Authors: Vaquera-araujo, Carlos A, Napsuciale, Mauro, Ángeles-martinez, René
Format: Article
Language:English
Subjects:
High energy physics
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Summary: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, [alpha]g^sup 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.
ISSN:1029-8479
DOI:10.1007/JHEP01(2013)011