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.

7 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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• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Lorentz invariant field theory on kappa-Minkowski space
• Scalar field theory on $\kappa$-Minkowski space-time and Doubly Special Relativity
• On kappa-deformation and triangular quasibialgebra structure
• 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