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arXiv · 0705.2471

Kappa-Minkowski space-time and the star product realizations

S. Meljanac·A. Samsarov·M. Stojic·K. S. Gupta
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Abstract

We investigate a Lie algebra-type $ κ$-deformed Minkowski space-time with undeformed Lorentz algebra and mutually commutative vector-like Dirac derivatives. There are infinitely many realizations of $ κ$-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 $ κ$-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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S. Meljanac, A. Samsarov, M. Stojic, K. S. Gupta. 2007-10-24. Kappa-Minkowski space-time and the star product realizations. https://doi.org/10.1140/epjc%2Fs10052-007-0450-0

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