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arxiv: 1005.5723 · v2 · pith:Z7OCJ6CCnew · submitted 2010-05-31 · 🧮 math-ph · hep-th· math.MP

Quantum Field Theory on quantized Bergman domain

classification 🧮 math-ph hep-thmath.MP
keywords bergmandomainfieldquantizedcoherentdiscreteformulasformulation
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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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