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Kinematics of a relativistic particle with de Sitter momentum space

By M. Arzano and J. Kowalski-Glikman


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 Poincare' group. Finally we provide a discussion on parametrization of the particle worldlines stressing analogies and differences with ordinary relativistic kinematics

Publisher: 'IOP Publishing'
Year: 2011
DOI identifier: 10.1088/0264-9381/28/10/105009
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Provided by: NARCIS
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