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.

arXiv comment16 pages, latex; v2, references added

References in corpus (47)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• The quantum structure of spacetime at the Planck scale and quantum fields
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Noncommutative Open String and D-brane
• A Gravity Theory on Noncommutative Spaces
• Classical and Quantum Mechanics of Free \k Relativistic Systems
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• Doubly Special Relativity
• The Factorized S-Matrix of CFT/AdS
• Noncommutative Geometry and Gravity
• Quantum $\kappa$-Poincare in Any Dimensions
• Coproduct and star product in field theories on Lie-algebra non-commutative space-times
• Deformed Field Theory on kappa-spacetime
• Kappa-Minkowski space-time and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Untwisting Noncommutative R^d and the Equivalence of Quantum Field Theories
• Local D=4 Field Theory on $\kappa$--Deformed Minkowski Space
• Doubly Special Relativity versus $\kappa$-deformation of relativistic kinematics
• Covariant realizations of kappa-deformed space
• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• Fock space, quantum fields and kappa-Poincaré symmetries
• Twisting all the way: from Classical Mechanics to Quantum Fields
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Hopf-algebra description of noncommutative-spacetime symmetries
• On $\kappa$-Deformation and UV/IR Mixing
• Generalized Weyl systems and kappa-Minkowski space
• Scalar field theory on $\kappa$-Minkowski space-time and Doubly Special Relativity
• Derivatives, forms and vector fields on the kappa-deformed Euclidean space
• kappa-deformed Spacetime From Twist
• Twisted Poincaré Invariant Quantum Field Theories
• $\kappa$-Deformed Statistics and Classical Fourmomentum Addition Law
• $\kappa$--deformed Wigner construction of relativistic wave functions and free fields on $\kappa$-Minkowski space
• Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation
• Noncommutative Field Theory from twisted Fock space
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• The classical basis for $\kappa$-deformed Poincaré (super)algebra and the second $\kappa$-deformed supersymmetric Casimir
• Field theory on kappa-spacetime
• Quantum deformed magnon kinematics
• A symmetry invariant integral on kappa-deformed spacetime
• Action functional for kappa-Minkowski Noncommutative Spacetime
• Duality and Braiding in Twisted Quantum Field Theory
• Blackbody radiation in κ-Minkowski spacetime
• Can QFT on Moyal-Weyl spaces look as on commutative ones?
• Noncommutative Quantization for Noncommutative Field Theory
• Quantum Deformations of Einstein's Relativistic Symmetries

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• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Constraints on the quantum gravity scale from kappa - Minkowski spacetime
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime
• Scalar field propagation in the phi^4 kappa-Minkowski model
• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Kappa-deformed Snyder spacetime
• Kappa-Minkowski spacetime, Kappa-Poincaré Hopf algebra and realizations
• Pauli-Jordan Function and Scalar Field Quantization in $\kappa$-Minkowski Noncommutative Spacetime
• Rainbow statistics
• Newton's Equation on the kappa space-time and the Kepler problem
• $\kappa$-deformed Dirac Equation
• On kappa-deformation and triangular quasibialgebra structure
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Maxwell's equations on the $\kappa$-Minkowski spacetime and Electric-Magnetic duality
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• $\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
• Kappa-deformed oscillators, the choice of star product and free kappa-deformed quantum fields
• $\kappa$-deformed complex fields and discrete symmetries
• Quantum statistics and noncommutative black holes
• Uniformly accelerating observer in $\kappa$-deformed space-time
• $\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
• Star product and interacting fields on $\kappa$-Minkowski space
• Scalar Field theory in $\kappa$-Minkowski spacetime from twist
• Different realizations of kappa-momentum space and relative-locality effect
• Kappa-deformation of phase space; generalized Poincare algebras and R-matrix
• Differential forms and k-Minkowski spacetime from extended twist
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum
• Once again about quantum deformations of D=4 Lorentz algebra: twistings of q-deformation
• Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
• Quantum particles in non-commutative space-time: an identity crisis
• Triangular quasi-Hopf algebra structures on certain non-semisimple quantum groups
• Photonic realization of the kappa-deformed Dirac equation
• Quantization of kappa-deformed free fields and kappa-deformed oscillators
• Fate of $\kappa$-Minkowski space-time in non-relativistic (Galilean) and ultra-relativistic (Carrollian) regimes
• kappa-Deformed Oscillators: Deformed Multiplication Versus Deformed Flip Operator and Multiparticle Clusters
• Braided Field Quantization from Quantum Poincare Covariance
• Noncommutative kappa-Minkowski phi4 theory: Construction, properties and propagation
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time
• Braided Tensor Products and the Covariance of Quantum Noncommutative Free Fields
• Braided algebras and the kappa-deformed oscillators
• Braided Statistics from Abelian Twist in $\kappa$-Minkowski Spacetime
• The covariant and on-shell statistics in kappa-deformed spacetime