Bonn 2020 – scientific programme

The DPG Spring Meeting in Bonn had to be cancelled! Read more ...

Parts | Days | Selection | Search | Updates | Downloads | Help

MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 12: Renormalization

MP 12.1: Talk

Wednesday, April 1, 2020, 15:40–16:00, H-HS I

Operator-algebraic renormalization and wavelet theory — •Alexander Stottmeister — Mathematisches Institut, Westfälische Wilhelms-Universität Münster, 48149 Münster

I will discuss on-going work on an operator-algebraic approach to the Wilson-Kadanoff renormalization group. I will present a simple argument that ensures the existence of scaling limits in this approach, thus, indicating the naturalness of the approach. As a test case, I will explain how the theory of wavelets can be utilized to implement this approach in terms of generalized block-spin transformations in the setting of scalar field theories. Locality of the resulting scaling limit can be shown by rigorous implementation of a recent proposal of T. Osborne using Lieb-Robinson bounds.

The project is a joint work with V. Morinelli, G. Morsella and Y. Tanimoto.