Kinematics of a relativistic particle with de Sitter momentum space

Michele Arzano (1) , Jerzy Kowalski-Glikman (2)

1 Spinoza Institute
2 Institute for Theoretical Physics

We discuss kinematical properties of a free relativistic particle with deformed phase space in which momentum space is given by (a submanifold of) de Sitter space. We provide a detailed derivation of the action, Hamiltonian structure and equations of motion for such free particle. We study the action of deformed relativistic symmetries on the phase space and derive explicit formulas for the action of the deformed Poincaré group. Finally we provide a discussion on parametrization of the particle worldlines stressing analogies and differences with ordinary relativistic kinematics.

Mots clés: Physical Sciences

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Michele Arzano, Jerzy Kowalski-Glikman. Kinematics of a relativistic particle with de Sitter momentum space. Classical and Quantum Gravity, 2011, 28 (10), pp.105009. ⟨10.1088/0264-9381/28/10/105009⟩. ⟨hal-00699372⟩