Quantum Field Theory on quantized Bergman domain

Harald Grosse, Peter Prešnajder, Zhituo Wang

Published 2010-05-31, updated 2010-06-07Version 2

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.