Relativistic invariant Lie algebras for kinematical observables in quantum space-time
| dc.creator | Khruschev, V. V. | |
| dc.creator | Leznov, A. N. | |
| dc.date | 2002-07-09 | |
| dc.date | 2003-03-06 | |
| dc.date.accessioned | 2026-07-07T04:13:50Z | |
| dc.date.available | 2026-07-07T04:13:50Z | |
| dc.description | 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. | |
| dc.description | 7 pages, LaTeX2e, misprints corrected, references added, discussion enlarged | |
| dc.identifier | https://arxiv.org/abs/hep-th/0207082 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0207082 | |
| dc.identifier | Grav.Cosmol. 9 (2003) 159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51404 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Relativistic invariant Lie algebras for kinematical observables in quantum space-time | |
| dc.type | text |