Kappa-Minkowski spacetime and the star product realizations (CROSBI ID 135838)
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Podaci o odgovornosti
Meljanac, Stjepan ; Samsarov, Andjelo ; Stojić, Marko ; Gupta, Kumar, S.
engleski
Kappa-Minkowski spacetime and the star product realizations
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.
kappa-deformation; noncommutative space; star product
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