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

High Energy Physics - Theory 2010-01-07 v3 Mathematical Physics math.MP Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.0903.5251,
  title  = {Classical basis for kappa-Poincare algebra and doubly special relativity theories},
  author = {A. Borowiec and A. Pachol},
  journal= {arXiv preprint arXiv:0903.5251},
  year   = {2010}
}

Comments

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