Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra

Abstract

To speak about identical particles - bosons or fermions - in quantum field theories with kappa-deformed Poincare symmetry, one must have a kappa-covariant notion of particle exchange. This means constructing intertwiners of the relevant representations of kappa-Poincare. We show, in the simple case of spinless particles, that intertwiners exist, and, supported by a perturbative calculation to third order in 1/kappa, make a conjecture about the existence and uniqueness of a certain preferred intertwiner defining particle exchange in kappa-deformed theories.

16 pages, latex; v2, references added

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Cited by in corpus (19)

• Twisted Statistics in kappa-Minkowski Spacetime
• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Newton's Equation on the kappa space-time and the Kepler problem
• Rainbow statistics
• On kappa-deformation and triangular quasibialgebra structure
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• Kappa-deformed oscillators, the choice of star product and free kappa-deformed quantum fields
• $\kappa$-deformed complex fields and discrete symmetries
• $\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
• Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
• Quantum particles in non-commutative space-time: an identity crisis
• Photonic realization of the kappa-deformed Dirac equation
• Fate of $\kappa$-Minkowski space-time in non-relativistic (Galilean) and ultra-relativistic (Carrollian) regimes
• Quantization of kappa-deformed free fields and kappa-deformed oscillators