Hermitian realizations of κ-Minkowski space–time

2013/07/31 by Domagoj Kovačević, Stjepan Meljanac, Andjelo Samsarov +1 · 11 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Hermitian matrix #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Plane (geometry) #Plane wave #Quantum Mechanics and Non-Hermitian Physics #Realization (probability) #Star (game theory) #hep-th #math-ph #math.MP #msc:16A58 #msc:81R60 #msc:81T75

paper · pdf · doi:10.1142/s0217751x15500190

published in International Journal of Modern Physics A 30(03), 1550019 (World Scientific) · 25 pages preprint, two tables, no figures, LaTeX2e class file

openalex publication_date 2015/01/29 · arxiv created 2015/02/02 · arxiv updated 2015/02/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

General realizations, star products and plane waves for κ-Minkowski space–time are considered. Systematic construction of general Hermitian realization is presented, with special emphasis on noncommutative plane waves and Hermitian star product. Few examples are elaborated and possible physical applications are mentioned.

Citations

• Waves on Noncommutative Spacetime and Gamma-Ray Bursts
• Gauge theories on the κ -Minkowski spacetime
• Quantum-Spacetime Phenomenology
• SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE
• Twisted statistics inκ-Minkowski spacetime
• Principle of relative locality
• Nonstandard optics from quantum space-time
• κ-DEFORMED SNYDER SPACETIME

Cited by

• Twist for Snyder space