Geometry of the Grosse-Wulkenhaar Model
High Energy Physics - Theory
2010-03-19 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.0902.3408,
title = {Geometry of the Grosse-Wulkenhaar Model},
author = {M. Buric and M. Wohlgenannt},
journal= {arXiv preprint arXiv:0902.3408},
year = {2010}
}
Comments
16 pages, version accepted in JHEP