1210.6814 (Stjepan Meljanac et al.)

Different realizations of kappa- momentum space and relative-locality
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Stjepan Meljanac, Anna Pachol, Andjelo Samsarov, Kumar S. Gupta

We show that the different realizations for momentum sector of kappa-Poincare Hopf algebra can be interpreted in the framework of a curved momentum space leading to the relativity of locality. The mass of a particle seems to be realization independent (up to linear order in deformation parameter l), therefore it indicates the existence of a universal Casimir element for a wide class of realizations. On the other hand, the time delay formula clearly shows a dependence on the choice of realization.

View original: http://arxiv.org/abs/1210.6814