{ "id": "1005.5723", "version": "v2", "published": "2010-05-31T18:57:29.000Z", "updated": "2010-06-07T14:46:43.000Z", "title": "Quantum Field Theory on quantized Bergman domain", "authors": [ "Harald Grosse", "Peter Prešnajder", "Zhituo Wang" ], "journal": "J. Math. Phys. 53, 013508 (2012)", "doi": "10.1063/1.3673274", "categories": [ "math-ph", "hep-th", "math.MP" ], "abstract": "We present an oscillator realization of discrete series representations of group SU(2,2). We give formulas for the coherent state star-product quantization of a Bergman domain $D$. A formulation of a (regularized) non-commutative scalar field on a quantized $D$ is given.", "revisions": [ { "version": "v2", "updated": "2010-06-07T14:46:43.000Z" } ], "analyses": { "subjects": [ "02.20.Qs", "02.40.Hw" ], "keywords": [ "quantum field theory", "quantized bergman domain", "coherent state star-product quantization", "discrete series representations", "non-commutative scalar field" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "year": 2012, "month": "Jan", "volume": 53, "number": 1, "pages": 3508 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 856606, "adsabs": "2012JMP....53a3508G" } } }