Rainbow statistics

Abstract

Non-commutative quantum field theories and their global quantum group symmetries provide an intriguing attempt to go beyond the realm of standard local quantum field theory. A common feature of these models is that the quantum group symmetry of their Hilbert spaces induces additional structure in the multiparticle states which reflects a non-trivial momentum-dependent statistics. We investigate the properties of this "rainbow statistics" in the particular context of $\kappa$-quantum fields and discuss the analogies/differences with models with twisted statistics.

12 pages, RevTeX, no figures

References in corpus (13)

• Black hole information, unitarity, and nonlocality
• Twisted Statistics in kappa-Minkowski Spacetime
• Fock space, quantum fields and kappa-Poincaré symmetries
• Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Symplectic geometry and Noether charges for Hopf algebra space-time symmetries
• kappa-deformed Spacetime From Twist
• Quantum fields, non-locality and quantum group symmetries
• On kappa-deformation and triangular quasibialgebra structure
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• Could deformed special relativity naturally arise from the semiclassical limit of quantum gravity?

Cited by in corpus (6)

• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• Anatomy of a deformed symmetry: field quantization on curved momentum space
• Kinematics of a relativistic particle with de Sitter momentum space
• On limitations of the extent of inertial frames in non-commutative relativistic spacetimes
• $\kappa$--Rindler space