Kappa-Minkowski space-time and the star product realizations

Autor:	Meljanac, S., Samsarov, A., Stojic, M., Gupta, K. S.
Rok vydání:	2007
Předmět:	High Energy Physics - Theory
Zdroj:	Eur.Phys.J.C53:295-309,2008
Druh dokumentu:	Working Paper
DOI:	10.1140/epjc/s10052-007-0450-0
Popis:	We investigate a Lie algebra-type $ \kappa$-deformed Minkowski space-time with undeformed Lorentz algebra and mutually commutative vector-like Dirac derivatives. There are infinitely many realizations of $ \kappa$-Minkowski space. The coproduct and the star product corresponding to each of them are found. Utilizing the properties of the {\em{natural}} realization, we construct a scalar field theory on $ \kappa$-deformed Minkowski space and show that it is equivalent to the scalar, nonlocal, relativistically invariant field theory on the ordinary Minkowski space. Comment: 23 pages, revtex4, no figures, typos corrected, references added; in v3 few references and some comments regarding kappa-Poincare symmetry are included; to appear in EPJC
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0705.2471 Zobrazit plný text záznamu View this record from Arxiv