LATTICE SPACE-TIME FROM POINCARE AND KAPPA-POINCARE ALGEBRAS

Citation
L. Frappat et A. Sciarrino, LATTICE SPACE-TIME FROM POINCARE AND KAPPA-POINCARE ALGEBRAS, Physics letters. Section B, 347(1-2), 1995, pp. 28-32
Citations number
16
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
347
Issue
1-2
Year of publication
1995
Pages
28 - 32
Database
ISI
SICI code
0370-2693(1995)347:1-2<28:LSFPAK>2.0.ZU;2-0
Abstract
Introducing a dimensional parameter kappa we propose a realization of the Poincare and kappa-Poincare algebras by non-local space-time diffe rential operators. The Klein-Gordon and Dirac equations take the form of a finite difference equation. The connection with the deformed Heis enberg algebra is discussed leading to a generalized uncertainty relat ion.