How topological recursion organises quantum fields on noncommutative geometries (3 lectures)
Grunddaten zum Vortrag
Art des Vortrags: wissenschaftlicher Vortrag
Name der Vortragenden: Wulkenhaar; Raimar
Datum des Vortrags: 13.06.2022
Vortragssprache: Englisch
URL zu den Präsentationsfolien: https://ivv5hpp.uni-muenster.de/u/raimar/talks/2022/london22-raimar.pdf
Informationen zur Veranstaltung
Name der Veranstaltung: Fields Institute Workshop on Noncommutative Geometry, Free Probability Theory and Random Matrix Theory
Zeitraum der Veranstaltung: 13.06.2022 - 17.06.2022
Ort der Veranstaltung: London (Ontario)
Webseite der Veranstaltung: http://www.fields.utoronto.ca/activities/21-22/noncommutative
Veranstaltet von: University of Western Ontario
Zusammenfassung
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.Stichwörter: Quantum field theory, noncommutative geometry, topological recursion
Vortragende der Universität Münster
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |