Geometry of the Grosse-Wulkenhaar Model
arXiv:0902.3408 · doi:10.1007/JHEP03(2010)053
Abstract
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.
16 pages, version accepted in JHEP