Different realizations of kappa-momentum space and relative-locality effect

Understand

We consider different realizations for the momentum sector of kappa-Poincare Hopf algebra, which is associated with a curved momentum space.

• We show that the notion of the particle mass as introduced recently by Amelino-Camelia et al.
• in the context of relative-locality is realization independent for a wide class of realizations, up to linear order in deformation parameter l.
• On the other hand, the time delay formula clearly shows a dependence on the choice of realization.