- 05-287 Christoph Kopper
- Renormalization Theory based on Flow equations
Aug 24, 05
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Abstract. 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 $\varphi_4^4$-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.