{ "id": "0902.3408", "version": "v3", "published": "2009-02-19T16:46:48.000Z", "updated": "2010-02-22T11:42:06.000Z", "title": "Geometry of the Grosse-Wulkenhaar Model", "authors": [ "M. Buric", "M. Wohlgenannt" ], "comment": "16 pages, version accepted in JHEP", "journal": "JHEP 1003:053,2010", "doi": "10.1007/JHEP03(2010)053", "categories": [ "hep-th", "gr-qc" ], "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.", "revisions": [ { "version": "v3", "updated": "2010-02-22T11:42:06.000Z" } ], "analyses": { "keywords": [ "grosse-wulkenhaar model", "two-dimensional noncommutative space", "natural interpretation", "space-time dimension", "finite-matrix spaces" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Journal of High Energy Physics", "year": 2010, "month": "Mar", "volume": 2010, "pages": 53 }, "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "inspire": 813739, "adsabs": "2010JHEP...03..053B" } } }