Geometry of the Grosse-Wulkenhaar Model

Details Geometry of the Grosse-Wulkenhaar Model Geometry of the Grosse-Wulkenhaar Model

2009-02-19

arxiv.org/abs/0902.3408v3

JHEP 1003:053,2010

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, version accepted in JHEP

Scientific paper

10.1007/JHEP03(2010)053

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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