Local counterterms on the noncommutative minkowski space

Abstract

The quasiplanar Wick products on the noncommutative Minkowski space defined in [5] by subtracting only local counterterms are reviewed. In addition, it is shown that ordinary Wick products on the noncommutative Minkowski space indeed involve nonlocal counterterms. A discussion of Wightman functions on the noncommutative Minkowski space is included and a cluster decomposition property (i.e. causality at large distances) is proved.