Geometry of the Grosse-Wulkenhaar Model

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

References in corpus (1)

• Monte Carlo Simulation of a NC Gauge Theory on The Fuzzy Sphere

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