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Harald Grosse (Vienna): Quantum field theory models on noncommutative spaces

Thursday, 12. October 2017, 14:00

Location:  Raum 218, Währinger Str. 17, 2. Stock

In order to improve QFT in 4 D we (HG and Raimar Wulkenhaar) studies models over quantized space‐times. They become Matrix models, which share all interesting features of a QFT: A graphical description with Feynman rules, power counting dimension, regularisation and renormalisation, divergence of the perturbation series.‐ We report on models, where we can give exact non‐perturbative formulae for all renormalised correlation functions. We describe a map, which projects these matrix correlation functions to Schwinger functions of an ordinary quantum field theory. The Schwinger 2‐point functions satisfies in some models the Osterwalder‐Schrader axioms.

Faculty of Physics
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