Relation between quantum κ-Poincaré framework and Doubly Special Relativity
نویسنده
چکیده
We describe firstly the basic features of quantum κ-Poincaré symmetries with their Hopf algebra structure. The quantum κ-Poincaré framework in any basis relates rigidly the quantum κ-Poincaré algebra with quantum κ-Poincaré group, noncommutative space-time and κ-deformed phase space. Further we present the approach of Doubly Special Relativity (DSR) theories, which introduce (in the version DSR1) kinematically the frame independent fundamental mass parameter as described by maximal three-momentum |−→p | = κc. We argue why the DSR theories in one-particle sector can be treated as the part of quantum κ-Poincaré framework. The DSR formulation has been extended to multiparticle states either in a way leading to nonlinear description of classical relativistic symmetries, or providing the identification of DSR approach with full quantum κ-Poincaré framework.
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