Stochastic quantisation of scalar QFT on noncommutative spaces
Basic data for this talk
Type of talk: scientific talk
Name der Vortragenden: Wulkenhaar; Raimar
Date of talk: 09/04/2025
Talk language: English
Information about the event
Name of the event: Applications of non-commutative geometry to gauge theories, field theories, and quantum space-time
Event period: 07/04/2025 - 11/04/2025
Event location: Marseille
Event website: https://conferences.cirm-math.fr/3196.html
Organised by: CIRM
Abstract
We present a joint work with C. Song and H. Weber in which we treat the stochastic quantisation equation of the λϕ4 QFT model on 2-dimensional Moyal space. We adapt the Da Prato–Debussche formulation to a matrix setting and corresponding spaces of distributions. Special care is necessary to estimate a mixed term which does not have a commutative analogue. We prove existence and uniqueness of the solution up to some small stochastic time and give an a priori estimate for large time. The tools from stochastic analysis then allow to deduce existence of an invariant measure. We also discuss perspectives to construct the 4-dimensional modelKeywords: stochastic quantisation; noncommutative geometry
Speakers from the University of Münster
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |