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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 | Affiliation: | 2, 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 | Abstract: | A 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 | Services: | Forum | Review | PDF | Favorites |
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