Naslov
Kappa-Minkowski spacetime and the star product realizations

Autori
Meljanac, Stjepan ; Samsarov, Andjelo ; Stojić, Marko ; Gupta, Kumar, S.

Izvornik
European Physical Journal C - Particles and Fields (1434-6044) 53 (2008), 2; 295-309

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
kappa-deformation; noncommutative space; star product

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA