Geometry of the Grosse-Wulkenhaar Model

M. Buric, M. Wohlgenannt

Published 2009-02-19, updated 2010-02-22Version 3

We define a two-dimensional noncommutative space as a limit of finite-matrix spaces which have space-time dimension three. We show that on such space the Grosse-Wulkenhaar (renormalizable) action has natural interpretation as the action for the scalar field coupled to the curvature. We also discuss a natural generalization to four dimensions.