How Professor Zeidler supported our research on: "Exact solutions of quantum field theory toy models"

Matrix models share all interesting features of quantum field theory: 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 of these models the Osterwalder-Schrader axioms.

These results were obtained in joint work with Raimar Wulkenhaar and partly with Akifumi Sako.

Our research was influenced and supported over many years by Professor Zeidler.