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

Abstract

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.

12 pages; extended version of the paper published in Phys. Rev. D 87, 125009 (2013)

References in corpus (15)

• Prospects for constraining quantum gravity dispersion with near term observations
• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Twisted Statistics in kappa-Minkowski Spacetime
• Covariant realizations of kappa-deformed space
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Fock space, quantum fields and kappa-Poincaré symmetries
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• $\kappa$-Deformed Statistics and Classical Fourmomentum Addition Law
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• On kappa-deformation and triangular quasibialgebra structure
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions

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• Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Relative-locality effects in Snyder spacetime
• Hermitian realizations of kappa-Minkowski spacetime
• Constraining Snyder and GUP models with low-mass stars
• Noncommutative spaces and covariant formulation of statistical mechanics
• Symmetries of $\kappa$ Minkowski space-time: A possibility of exotic momentum space geometry?
• Early universe thermostatistics in curved momentum spaces
• Some Features of Scattering Problem in a $\kappa$-Deformed Minkowski Spacetime
• Generalized relative locality and causal sets