Observables and dispersion relations in κ-Minkowski spacetime

• Published in: The journal of high energy physics Vol. 2017; no. 10; pp. 1 - 27
• Main Authors: Aschieri, Paolo, Borowiec, Andrzej, Pachoł, Anna
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2017; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Deformation; Elementary Particles; High energy physics; Lie groups; Non-Commutative Geometry; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Groups; Quantum Physics; Quantum theory; Regular Article - Theoretical Physics; Relativity; Relativity Theory; Space-Time Symmetries; Spacetime; String Theory; Transformations (mathematics); Translations; Wave dispersion; Wave equations; Non-Commutative Geometry; Quantum Groups; Space-Time Symmetries
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP10(2017)152

A bstract We revisit the notion of quantum Lie algebra of symmetries of a noncommutative spacetime, its elements are shown to be the generators of infinitesimal transformations and are naturally identified with physical observables. Wave equations on noncommutative spaces are derived from a quantum...