How topological recursion organises quantum fields on noncommutative geometries (3 lectures)
Basic data for this talk
Type of talk: scientific talk
Name der Vortragenden: Wulkenhaar; Raimar
Date of talk: 13/06/2022
Talk language: English
Information about the event
Name of the event: Fields Institute Workshop on Noncommutative Geometry, Free Probability Theory and Random Matrix Theory
Event period: 13/06/2022 - 17/06/2022
Event location: London (Ontario)
Organised by: University of Western Ontario
Abstract
The first lecture starts with a short review of quantum field theory, including a discussion of the triviality problem. We intend to outline how constructing a QFT on a noncommutative geometry instead of on Euclidean space could help to solve this problem. The second lecture introduces the λΦ4-model on a noncommutative geometry. We derive the hierarchy of Dyson-Schwinger equations and explain how to solve the equation for the planar two-point function. In case that the noncommutative geometry is the 4-dimensional Moyal plane, the triviality problem is indeed absent. The third lecture addresses higher topological sectors. We explain how topological recursion (in a variant with blobs) organises the evaluation.Keywords: Quantum field theory, noncommutative geometry, topological recursion
Speakers from the University of Münster
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |