Classical basis for kappa-Poincare algebra and doubly special relativity theories

Details Classical basis for kappa-Poincare algebra and doubly special relativity theories Classical basis for kappa-Poincare algebra and doubly special relativity theories

2009-03-30

arxiv.org/abs/0903.5251v3

J.Phys.A43:045203,2010

Physics

High Energy Physics

High Energy Physics - Theory

14 pages in Revtex4, final published version (revised and extended)

Scientific paper

10.1088/1751-8113/43/4/045203

Several issues concerning quantum kappa-Poincare algebra are discussed and reconsidered here. We propose two different formulations of kappa-Poincare quantum algebra. Firstly we present a complete Hopf algebra formulae of kappa-Poincare in classical Poincare basis. Further by adding one extra generator, which modifies the classical structure of Poincare algebra, we eliminate non polynomial functions in the kappa-parameter. Hilbert space representations of such algebras make Doubly Special Relativity (DSR) similar to the Stueckelberg's version of (proper-time) relativistic Quantum Mechanics.

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