Action Ward Identity and the Stueckelberg-Petermann renormalization group

Details Action Ward Identity and the Stueckelberg-Petermann renormalization group Action Ward Identity and the Stueckelberg-Petermann renormalization group

2005-01-28

arxiv.org/abs/hep-th/0501228v1

Prog.Math.251:113-124,2007

Physics

High Energy Physics

High Energy Physics - Theory

Submitted to the Proceedings of the Symposium in honour of the 70th anniversary of Jacques Bros, Paris 2004. 11pages

Scientific paper

A fresh look at the renormalization group (in the sense of Stueckelberg-Petermann) from the point of view of algebraic quantum field theory is given, and it is shown that a consistent definition of local algebras of observables and of interacting fields in renormalized perturbative quantum field theory can be given in terms of retarded products. The dependence on the Lagrangian enters this construction only through the classical action. This amounts to the commutativity of retarded products with derivatives, a property named Action Ward Identity by Stora.

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