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06 July 2020
 
  » arxiv » hep-th/0207082

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Relativistic invariant Lie algebras for kinematical observables in quantum space-time
V. V. Khruschev ; A. N. Leznov ;
Date 9 Jul 2002
Journal Grav.Cosmol. 9 (2003) 159
Subject hep-th
Affiliation2, 3 and 4) ( Department for Gravitation and Fundamental Metrology VNIIMS, Moscow, Russia, Universidad Autonoma del Estado de Morelos, CCICAp, Curnavaca, Mexico, Institute for High Energy Physics, Protvino, Russia, Bogoliubov Laboratory of Theoreti
AbstractA deformation of the canonical algebra for kinematical observables of the quantum field theory in Minkowski space-time has been considered under the condition of Lorentz invariance. A relativistic invariant algebra obtained depends on additional fundamental constants M, L and H with the dimensions of mass, length and action, respectively. In some limiting cases the algebra goes over into the well-known Snyder or Yang algebras. In general case the algebra represents a class of Lie algebras, that consists of simple algebras and semidirect sums of simple algebras and integrable ones. Some algebras belonging to this class are noninvariant under T and C transformations. Possible applications of obtained algebras for descriptions of states of matter under extreme conditions are briefly discussed.
Source arXiv, hep-th/0207082
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