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

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Cited by in corpus (27)

• Quantum Spacetime Phenomenology
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Constraints on the quantum gravity scale from kappa - Minkowski spacetime
• Fractional and noncommutative spacetimes
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• Lorentz invariant field theory on kappa-Minkowski space
• Anatomy of a deformed symmetry: field quantization on curved momentum space
• Classical paradoxes of locality and their possible quantum resolutions in deformed special relativity
• Pauli-Jordan Function and Scalar Field Quantization in $\kappa$-Minkowski Noncommutative Spacetime
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• $\kappa$-deformed complex fields and discrete symmetries
• Quantum statistics and noncommutative black holes
• Kinematics of a relativistic particle with de Sitter momentum space
• Signal propagation on $\kappa$-Minkowski spacetime and non-local two-point functions
• On limitations of the extent of inertial frames in non-commutative relativistic spacetimes
• Beyond Fock space in three dimensional semiclassical gravity
• A group theoretic description of the $\kappa$-Poincaré Hopf algebra
• Quantum particles in non-commutative space-time: an identity crisis
• $\kappa$--Rindler space
• Quantization of fluctuations in DSR: the two-point function and beyond
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• Fun from none: deformed symmetries and Fock space
• Noncommutative kappa-Minkowski phi4 theory: Construction, properties and propagation
• Braided Statistics from Abelian Twist in $\kappa$-Minkowski Spacetime
• Three-dimensional gravity and deformations of relativistic symmetries