Bonn 2020 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 12: Renormalization

MP 12.1: Vortrag

Mittwoch, 1. April 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.