STAR PRODUCT AND INTERACTING FIELDS ON κ-MINKOWSKI SPACE

DOI10.1142/S0217732309031582zbMath1175.83008arXiv0904.4036WikidataQ59700335 ScholiaQ59700335MaRDI QIDQ3647710

Adrian Walkus, Jerzy Kowalski-Glikman

Publication date: 23 November 2009

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

Full work available at URL: https://arxiv.org/abs/0904.4036

zbMATH Keywords

noncommutative geometry\(\kappa\)-Minkowski space\(\kappa\)-Poincaré algebra

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Special relativity (83A05)

Related Items (5)

Quantum gravity and gravitational-wave astronomy ⋮ Non-commutative fields and the short-scale structure of spacetime ⋮ SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE ⋮ Quantum scalar field theories with fractional operators ⋮ Scalar field propagation in the \(\phi^{4}\kappa\)-Minkowski model

Cites Work

• From noncommutative \(\kappa \)-Minkowski to Minkowski space-time
• Covariant particle statistics and intertwiners of the \(\kappa \)-deformed Poincaré algebra
• Gauge theories on the \(\kappa\)-Minkowski spacetime
• Deformed field theory on \(\kappa\)-spacetime
• Classical and quantum mechanics of free \(\kappa\)-relativistic systems
• New quantum Poincaré algebra and \(\kappa\)-deformed field theory
• Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
• 3D Quantum Gravity and Effective Noncommutative Quantum Field Theory
• Ponzano–Regge model revisited: III. Feynman diagrams and effective field theory
• FIELD THEORY ON κ-MINKOWSKI SPACE REVISITED: NOETHER CHARGES AND BREAKING OF LORENTZ SYMMETRY
• RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE
• SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND DOUBLY SPECIAL RELATIVITY
• Testable scenario for relativity with minimum length
• Observer-independent quantum of mass
• Deformed boost transformations that saturate at the Planck scale

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