2PI effective action for gauge theories: renormalization | Zendy

Urko Reinosa | Zendy; Julien Serreau | Zendy

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2PI effective action for gauge theories: renormalization

Author(s) -

Urko Reinosa,

Julien Serreau

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/07/028

Subject(s) - renormalization , physics , propagator , perturbation theory (quantum mechanics) , mathematical physics , effective action , gauge theory , background field method , quantum chromodynamics , gauge symmetry , theoretical physics , quantum electrodynamics , introduction to gauge theory , particle physics

We discuss the application of two-particle-irreducible (2PI) functionaltechniques to gauge theories, focusing on the issue of non-perturbativerenormalization. In particular, we show how to renormalize the photon andfermion propagators of QED obtained from a systematic loop expansion of the 2PIeffective action. At any finite order, this implies introducing newcounterterms as compared to the usual ones in perturbation theory. We show thatthese new counterterms are consistent with the 2PI Ward identities and aresystematically of higher order than the approximation order, which guaranteesthe convergence of the approximation scheme. Our analysis can be applied to anytheory with linearly realized gauge symmetry. This is for instance the case ofQCD quantized in the background field gauge.Comment: 21 pages, 8 figures. Uses JHEP3.cl

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