Quantum Field Theory on quantized Bergman domain

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1063/1.3673274

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.

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