Kappa-Minkowski space-time and the star product realizations

Details Kappa-Minkowski space-time and the star product realizations Kappa-Minkowski space-time and the star product realizations

2007-05-17

arxiv.org/abs/0705.2471v3

Eur.Phys.J.C53:295-309,2008

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, revtex4, no figures, typos corrected, references added; in v3 few references and some comments regarding kappa-Poinc

Scientific paper

10.1140/epjc/s10052-007-0450-0

We investigate a Lie algebra-type $ \kappa$-deformed Minkowski space-time with undeformed Lorentz algebra and mutually commutative vector-like Dirac derivatives. There are infinitely many realizations of $ \kappa$-Minkowski space. The coproduct and the star product corresponding to each of them are found. Utilizing the properties of the {\em{natural}} realization, we construct a scalar field theory on $ \kappa$-deformed Minkowski space and show that it is equivalent to the scalar, nonlocal, relativistically invariant field theory on the ordinary Minkowski space.

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