Quantum field theory on quantized Bergman domain

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) noncommutative scalar field on a quantized D is given.

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Bibliographic Details
Published in:Journal of mathematical physics 2012-01, Vol.53 (1), p.013508-013508-12
Main Authors: Grosse, H., Prešnajder, P., Wang, Zhituo
Format: Article
Language:English
Subjects:
Exact sciences and technology
High Energy Physics - Theory
Mathematical methods in physics
Mathematical Physics
Mathematics
Physics
Sciences and techniques of general use
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Description
Summary: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) noncommutative scalar field on a quantized D is given.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3673274