Unitary quantum field theory on the noncommutative Minkowski space

This is an exposition of joint work with S. Doplicher, K. Fredenhagen, and Gh. Piacitelli [1]. The violation of unitarity found in quantum field theory on noncommutative spacetimes in the context of the so‐called modified Feynman rules is linked to the notion of time ordering implicitly used in the assumption that perturbation theory may be done solely in terms of Feynman propagators. Two alternative approaches which do not entail a violation of unitarity are sketched. An outlook upon our more recent work is given.