On the inequivalence of Euclidean and Minkowskian methods on Moyalspace
Prof. Dr. Dorothea Bahns (Universität Göttingen)

I will explain how perturbative quantum field theory can be set up on the simplest model of a noncommutative space(time). Emphasis is put on pointing out how the Euclidean method that was developed for quantum fields on vector spaces, albeit very convenient regarding calculations, fails to be valid in this noncommutative setting.
Especially it is shown that at least in certain classes of Feynman graphs, the infamous ultraviolet-infrared mixing property which spoils renormalizability in noncommutative Euclidean quantum field theory is absent if Minkowskian methods are employed from the start.