2000/09/18 by P. Kosiński, P. Kosinski, J. Lukierski +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1023/a:1022821310096
published as Czech.J.Phys. 50 (2000) 1283-1290 · LateX2e, 8 pages, Talk by J. Lukierski at Colloqium on Quantum Groups and Integrable Systems, Prague, June 2000, (Czech. J. Phys. 50, 2000 in press)
arxiv created 2000/09/18 · openalex publication_date 2000/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider local field theory on κ-deformed Minkowski space which is an example of solvable Lie-algebraic noncommutative structure. Using integration formula over κ-Minkowski space and κ-deformed Fourier transform we consider for deformed local fields the reality conditions as well as deformation of action functionals in standard Minkowski space. We present explicite formulas for two equivalent star products describing CBH quantization of field theory on κ-Minkowski space. We express also via star product technique the noncommutative translations in κ-Minkowski space by commutative translations in standard Minkowski space.