Czechoslovak Journal of Physics

, Volume 50, Issue 11, pp 1283–1290 | Cite as

Local field theory on κ-Minkowski space, star products and noncommutative translations

  • P. Kosiński
  • P. Maślanka
  • J. Lukierski


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 explicit 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.


Hopf Algebra Quantum Group Minkowski Space Poisson Structure Star Product 
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Copyright information

© Springer 2000

Authors and Affiliations

  • P. Kosiński
    • 1
  • P. Maślanka
    • 1
  • J. Lukierski
    • 2
  1. 1.Institute of PhysicsUniversity of LódźLódźPoland
  2. 2.Institute of Theoretical PhysicsUniversity of WroclawWrocławPoland

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