Particle velocity in noncommutative space-time

Abstract

We investigate a particle velocity in the $\kappa$-Minkowski space-time, which is one of the realization of a noncommutative space-time. We emphasize that arrival time analyses by high-energy $\gamma$-rays or neutrinos, which have been considered as powerful tools to restrict the violation of Lorentz invariance, are not effective to detect space-time noncommutativity. In contrast with these examples, we point out a possibility that {\it low-energy massive particles} play an important role to detect it.

16 pages, corrected some mistakes

Cited by in corpus (12)

• Analogue Gravity
• Introduction to Doubly Special Relativity
• Some Aspects of Planck Scale Quantum Optics
• Transformations of coordinates and Hamiltonian formalism in deformed Special Relativity
• On the definition of velocity in doubly special relativity theories
• On the definition of velocity in theories with two observer-independent scales
• Approaching Space Time Through Velocity in Doubly Special Relativity
• On the Lorentz Transformations of Momentum and Energy
• Undeformed (additive) energy conservation law in Doubly Special Relativity
• Hamiltonian formalism and spacetime symmetries in generic DSR models
• Introduction to a Non-Commutative Version of the Standard Model
• Wave Propagation and IR/UV Mixing in Noncommutative Spacetimes