κ-DEFORMED STATISTICS AND CLASSICAL FOUR-MOMENTUM ADDITION LAW

DOI10.1142/S021773230802673XzbMath1169.81349arXivhep-th/0703200WikidataQ62579666 ScholiaQ62579666MaRDI QIDQ3532404

Mariusz Woronowicz, Marcin Daszkiewicz, Jerzy Lukierski

Publication date: 3 November 2008

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0703200

zbMATH Keywords

non-commutative spacetime\(\kappa\)-deformed relativistic symmetriesquantum deformation of statistics

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry in quantum theory (81R60)

Related Items (12)

KAPPA-MINKOWSKI SPACETIME, KAPPA-POINCARÉ HOPF ALGEBRA AND REALIZATIONS ⋮ Universal κ-Poincaré covariant differential calculus over κ-Minkowski space ⋮ Deformation quasi-Hopf algebras of non-semisimple type from cochain twists ⋮ The energy–momentum conservation law in two-particle system for twist-deformed Galilei Hopf algebras ⋮ SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE ⋮ Covariant particle statistics and intertwiners of the \(\kappa \)-deformed Poincaré algebra ⋮ Twists, realizations and Hopf algebroid structure of κ-deformed phase space ⋮ κ-DEFORMED SNYDER SPACETIME ⋮ Covariant particle exchange for \(\kappa\)-deformed theories in 1+1 dimensions ⋮ On \(\kappa \)-deformation and triangular quasibialgebra structure ⋮ \(\kappa\)-deformation of phase space; generalized Poincaré algebras and \(R\)-matrix ⋮ Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation

Cites Work

• Twist and spin-statistics relation in noncommutative quantum field theory
• Towards \(\kappa\)-deformed \(D=4\) relativistic field theory
• Doubly special relativity theories as different bases of \(\kappa\)-Poincaré algebra
• Classical and quantum mechanics of free \(\kappa\)-relativistic systems
• New quantum Poincaré algebra and \(\kappa\)-deformed field theory
• DOUBLY SPECIAL RELATIVITY VERSUS κ-DEFORMATION OF RELATIVISTIC KINEMATICS
• Quantum Poincare group related to the kappa -Poincare algebra
• GENERALIZED WEYL SYSTEMS AND κ-MINKOWSKI SPACE
• SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND DOUBLY SPECIAL RELATIVITY
• Testable scenario for relativity with minimum length

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