Local field theory on \(\kappa \)-Minkowski space, star products and noncommutative translations.

DOI10.1023/A:1022821310096zbMath1050.81573arXivhep-th/0009120MaRDI QIDQ1877419

Pawel Maslanka, Jerzy Lukierski, Piotr Kosiński

Publication date: 7 September 2004

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0009120

zbMATH Keywords

space-time symmetry\(\kappa \)-deformationstar product technique

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Noncommutative geometry methods in quantum field theory (81T75)

Related Items

The momentum spaces of \(\kappa \)-Minkowski noncommutative spacetime, Toward the classification of differential calculi on \(\kappa\)-Minkowski space and related field theories, Global space-time symmetries of quantized Euclidean and Minkowski superspaces, QUANTUM FIELDS ON CURVED MOMENTUM SPACE, Star product and invariant integration for Lie type noncommutative spacetimes, Lie-Poisson gauge theories and \(\kappa\)-Minkowski electrodynamics, The Weyl–Mellin quantization map, Braided algebras and the \(\kappa \)-deformed oscillators, \(\mathcal{N}=\frac{1}{2}\) global SUSY: R-matrix approach, κ -Minkowski representations on Hilbert spaces, Time discretization from noncommutativity, SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE, Covariant particle statistics and intertwiners of the \(\kappa \)-deformed Poincaré algebra, Poincaré covariance and \(\kappa \)-Minkowski spacetime, Scalar field propagation in the \(\phi^{4}\kappa\)-Minkowski model, Covariant realizations of kappa-deformed space, \(\kappa \)-Minkowski spacetime and the star product realizations, New realizations of Lie algebra kappa-deformed Euclidean space, \(\kappa\)-Minkowski-deformation of U(1) gauge theory, NEWTON'S EQUATION ON THE κ-SPACETIME AND THE KEPLER PROBLEM, CANONICAL AND LIE-ALGEBRAIC TWIST DEFORMATIONS OF κ-POINCARÉ AND CONTRACTIONS TO κ-GALILEI ALGEBRAS, COVARIANT FORMULATION OF NOETHER'S THEOREM FOR κ-MINKOWSKI TRANSLATIONS, A CYCLIC INTEGRAL ON κ-MINKOWSKI NONCOMMUTATIVE SPACE–TIME, UNIFORMLY ACCELERATED DETECTOR IN THE κ-DEFORMED DIRAC VACUUM, κ-DEFORMED DIRAC EQUATION, \(\kappa\)-Poincaré-Hopf algebra and Hopf algebroid structure of phase space from twist