Renormalization Theory based on Flow Equations

Details Renormalization Theory based on Flow Equations Renormalization Theory based on Flow Equations

2005-08-19

arxiv.org/abs/hep-th/0508143v1

Prog.Math.251:161-174,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 3 figures, lecture in honour of Jacques Bros on the occasion of his 70th birthday

Scientific paper

I give an overview over some work on rigorous renormalization theory based on the differential flow equations of the Wilson-Wegner renormalization group. I first consider massive Euclidean $\phi_4^4$-theory. The renormalization proofs are achieved through inductive bounds on regularized Schwinger functions. I present relatively crude bounds which are easily proven, and sharpened versions (which seem to be optimal as regards large momentum behaviour). Then renormalizability statements in Minkowski space are presented together with analyticity properties of the Schwinger functions. Finally I give a short description of further results.

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