The Euclidean λφ^4_4-model on noncommutative geometries: a status report
Basic data for this talk
Type of talk: scientific talk
Name der Vortragenden: Wulkenhaar, Raimar
Date of talk: 14/09/2022
Talk language: English
Information about the event
Name of the event: Energy conditions in quantum field theory
Event period: 12/09/2022 - 16/09/2022
Event location: Leipzig
Event website: https://www.physik.uni-leipzig.de/~ecqft/
Organised by: Institut für Theoretische Physik, Universität Leipzig
Abstract
4D Quantum field theories are somehow squeezed between triviality and the Millennium Prize challenge. To get a little insight we relax a key condition on QFT – Poincaré or Euclidian invariance -- and study scalar quantum fields on noncommutative geometries. This gives the possibility of a topological expansion. The problem turns out to be tractable in every topological sector, and for the spherical sector the triviality problem disappears in 4D. In dimension 0 the control of all topologies is within reach, and remarkable connections to complex algebraic geometry and to enumerative geometry are found.Keywords: quantum field theory; topological recursion
Speakers from the University of Münster
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |