Local Field Theory ON $κ$-Minkowski Space, Star Products and Noncommutative Translations

Details Local Field Theory ON $κ$-Minkowski Space, Star Products and Noncommutative Translations Local Field Theory ON $κ$-Minkowski Space, Star Products and Noncommutative Translations

2000-09-15

arxiv.org/abs/hep-th/0009120v2

Czech.J.Phys. 50 (2000) 1283-1290

Physics

High Energy Physics

High Energy Physics - Theory

LateX2e, 8 pages, Talk by J. Lukierski at Colloqium on Quantum Groups and Integrable Systems, Prague, June 2000, (Czech. J. Ph

Scientific paper

10.1023/A:1022821310096

We consider local field theory on $\kappa$-deformed Minkowski space which is an example of solvable Lie-algebraic noncommutative structure. Using integration formula over $\kappa$-Minkowski space and $\kappa$-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 $\kappa$-Minkowski space. We express also via star product technique the noncommutative translations in $\kappa$-Minkowski space by commutative translations in standard Minkowski space.

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