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paper

Quantum Field Theory on quantized Bergman domain

arXiv:1005.5723 · doi:10.1063/1.3673274

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.