Noncommutative Parameters of Quantum Symmetries and Star Products

Details Noncommutative Parameters of Quantum Symmetries and Star Products Noncommutative Parameters of Quantum Symmetries and Star Products

2000-12-07

arxiv.org/abs/hep-th/0012056v2

Phys.Atom.Nucl. 64 (2001) 2139-2143

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 10 pages. To appear in the Proceedings of XXIII International Colloquium on Group-Theoretical Methods in Physics, Jul

Scientific paper

10.1134/1.1432914

The star product technique translates the framework of local fields on noncommutative space-time into nonlocal fields on standard space-time. We consider the example of fields on $\kappa$- deformed Minkowski space, transforming under $\kappa$-deformed Poincar\'{e} group with noncommutative parameters. By extending the star product to the tensor product of functions on $\kappa$-deformed Minkowski space and $\kappa$-deformed Poincar\'{e} group we represent the algebra of noncommutative parameters of deformed relativistic symmetries by functions on classical Poincar\'{e} group.

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