Field theory on kappa-spacetime

Abstract

A general formalism is developed that allows the construction of field theory on quantum spaces which are deformations of ordinary spacetime. The symmetry group of spacetime is replaced by a quantum group. This formalism is demonstrated for the kappa-deformed Poincare algebra and its quantum space. The algebraic setting is mapped to the algebra of functions of commuting variables with a suitable star-product. Fields are elements of this function algebra. As an example, the Klein-Gordon equation is defined and derived from an action.

arXiv comment7 pages, talk given by L. Jonke at the XIII International Colloquium on Integrable Systems and Quantum Groups, June 2004, Prague

References in corpus (1)

• Gauge theories on the kappa-Minkowski spacetime

Cited by in corpus (22)

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• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Lorentz invariant field theory on kappa-Minkowski space
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• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• Gauge theories on quantum spaces
• The $AdS$ particle
• Star product and interacting fields on $\kappa$-Minkowski space
• Jordanian Quantum Deformations of D=4 Anti-de-Sitter and Poincare Superalgebras
• Noncommutative Geometry and Geometric Phases
• Deformed conformal and super-Poincaré symmetries in the non-(anti)commutative spaces
• Symmetries of $\kappa$ Minkowski space-time: A possibility of exotic momentum space geometry?
• Triangular quasi-Hopf algebra structures on certain non-semisimple quantum groups
• Field theories on $\rho$-deformed Minkowski space-time
• Possible quantum kinematics. II. Non-minimal case
• Noncommutative space-time models
• Lie Particle And Its Batalin-Tyutin Extension
• Some considerations on duality concerning kappa-Minkowski spacetime theories
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction