# Bonn 2020 – wissenschaftliches Programm

# Die DPG-Frühjahrstagung in Bonn musste abgesagt werden! Lesen Sie mehr ...

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# SYMD: Symposium SMuK Dissertation Prize 2020

## SYMD 1: SMuK Dissertation Prize 2020

### SYMD 1.1: Hauptvortrag

### Montag, 30. März 2020, 14:30–15:00, H-Aula/HS I/HS X

N-Particle Scattering and Asymptotic Completeness in Wedge-Local Quantum Field Theories — •Maximilian Duell — Mathematisches Institut der Universität München, Theresienstr. 39, München

In this talk, I will present a mathematical theory of N-particle scattering reactions in wedge-local quantum field theories (wQFT), developed during my PhD project (Advisor: W. Dybalski, TU München). The investigation of wQFTs is an active area of research in mathematical physics with applications in the construction of integrable QFTs (e.g. Sinh-Gordon, O(n)-Sigma models).

In my work, N-particle states with arbitrary particle numbers are constructed in a general framework of wQFT. Using wedge-swapping symmetry a geometric pitfall is resolved, which has restricted previous investigations of other authors to 2-particle reactions. The new method yields a well-defined N-particle scattering matrix in various known wQFT models. Most notably, non-trivial wQFTs have already been established with full mathematical rigour, in contrast to the still widely open Yang-Mills Existence problem. By means of the present wedge-local scattering theory, a class of wQFT models constructed by Grosse and Lechner are exhibited as first examples of relativistic (wedge-local) QFT in four-dimensional space-time, which are provably interacting and asymptotically complete.

I gratefully acknowledge funding by the DFG, grant DY107/2-1.