Bonn 2010 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 9: Quantum Field Theory
MP 9.3: Talk
Wednesday, March 17, 2010, 17:35–18:00, JUR H
Connection between the renormalization groups of Stückelberg-Petermann and Wilson — •Michael Dütsch1, Romeo Brunetti2, and Klaus Fredenhagen3 — 1Courant Research Centre in Mathematics, Universität Göttingen — 2Dipartimento di Matematica, Universita di Trento, Italien — 3II. Institut für Theoretische Physik, Universität Hamburg
The Stückelberg-Petermann renormalization group (RG) relies on the non-uniqueness of the S-matrix in causal perturbation theory (i.e. Epstein-Glaser renormalization); it is the family of all finite renormalizations. The RG in the sense of Wilson refers to the dependence of the theory on a cutoff. A new formalism for perturbative algebraic quantum field theory allows to clarify the relation between these different notions of RG. In particular we relate the approach to renormalization in terms of Polchinski's Flow Equation to the Epstein-Glaser method.