2PI effective action for gauge theories: Renormalization

Details 2PI effective action for gauge theories: Renormalization 2PI effective action for gauge theories: Renormalization

2006-05-02

arxiv.org/abs/hep-th/0605023v1

JHEP 0607:028,2006

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 8 figures. Uses JHEP3.cls

Scientific paper

10.1088/1126-6708/2006/07/028

We discuss the application of two-particle-irreducible (2PI) functional techniques to gauge theories, focusing on the issue of non-perturbative renormalization. In particular, we show how to renormalize the photon and fermion propagators of QED obtained from a systematic loop expansion of the 2PI effective action. At any finite order, this implies introducing new counterterms as compared to the usual ones in perturbation theory. We show that these new counterterms are consistent with the 2PI Ward identities and are systematically of higher order than the approximation order, which guarantees the convergence of the approximation scheme. Our analysis can be applied to any theory with linearly realized gauge symmetry. This is for instance the case of QCD quantized in the background field gauge.

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