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arXiv · 0902.3408

Geometry of the Grosse-Wulkenhaar Model

M. Buric·M. Wohlgenannt
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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.

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M. Buric, M. Wohlgenannt. 2010-02-22. Geometry of the Grosse-Wulkenhaar Model. https://doi.org/10.1007/jhep03(2010)053

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