Deformed field theory on \(\kappa\)-spacetime

DOI10.1140/epjc/s2003-01309-yzbMath1032.81529arXivhep-th/0307149OpenAlexW2146550026MaRDI QIDQ1410706

L. Möller, Marija Dimitrijević, Julius Wess, Efrossini Tsouchnika, Michael Wohlgenannt

Publication date: 14 October 2003

Published in: The European Physical Journal C. Particles and Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0307149

zbMATH Keywords

quantum groupfunction algebra\(\kappa\)-deformed Poincaré algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (56)

Spectral geometry of κ-Minkowski space ⋮ Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole ⋮ Topics in noncommutative geometry inspired physics ⋮ Solution of the \(\kappa\)-deformed Dirac equation with vector and scalar interactions in the context of spin and pseudospin symmetries ⋮ Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of \(\varrho\)-Minkowski ⋮ Field theories on \(\rho\)-deformed Minkowski space-time ⋮ Symmetries of \(\kappa\)-Minkowski space-time: a possibility of exotic momentum space geometry? ⋮ Gauge theories on quantum spaces ⋮ Star product and invariant integration for Lie type noncommutative spacetimes ⋮ Poisson gauge models and Seiberg-Witten map ⋮ FIELD THEORY ON κ-MINKOWSKI SPACE REVISITED: NOETHER CHARGES AND BREAKING OF LORENTZ SYMMETRY ⋮ \(\kappa \)-Minkowski spacetime through exotic ``oscillator ⋮ A dynamical 2-dimensional fuzzy space ⋮ The AdS particle ⋮ κ -Minkowski representations on Hilbert spaces ⋮ Lie particle and its Batalin-Tyutin extension ⋮ \(\kappa\)-Poincaré invariant orientable field theories at one-loop ⋮ 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 ⋮ Noncommutative duality and fermionic quasinormal modes of the BTZ black hole ⋮ FROM QUANTUM DEFORMATIONS OF RELATIVISTIC SYMMETRIES TO MODIFIED KINEMATICS AND DYNAMICS ⋮ The 2D \(\kappa\)-Dirac oscillator ⋮ BRAIDED STATISTICS FROM ABELIAN TWIST IN κ-MINKOWSKI SPACETIME ⋮ HOPF-ALGEBRA DESCRIPTION OF NONCOMMUTATIVE-SPACE–TIME SYMMETRIES ⋮ A twisted look on kappa-Minkowski: \(\mathrm{U}(1)\) gauge theory ⋮ Scalar field propagation in the \(\phi^{4}\kappa\)-Minkowski model ⋮ On the \(\kappa\)-Dirac oscillator revisited ⋮ \(\alpha^\ast\)-cohomology, and classification of translation-invariant non-commutative quantum field theories ⋮ From noncommutative \(\kappa \)-Minkowski to Minkowski space-time ⋮ Quantum deformations of \(D =4\) Lorentz algebra revisited: Twistings of \(q\) -deformation ⋮ Covariant realizations of kappa-deformed space ⋮ The standard model on non-commutative space-time: electroweak currents and the Higgs sector ⋮ \(\kappa \)-Minkowski spacetime and the star product realizations ⋮ New realizations of Lie algebra kappa-deformed Euclidean space ⋮ Jordanian quantum deformations of \(D = 4\) anti-de Sitter and Poincaré superalgebras ⋮ Gauge theories on the \(\kappa\)-Minkowski spacetime ⋮ On \(\kappa \)-deformation and triangular quasibialgebra structure ⋮ \(\kappa\)-Minkowski-deformation of U(1) gauge theory ⋮ A FIELD THEORY MODEL WITH A NEW LORENTZ-INVARIANT ENERGY SCALE ⋮ Effect of non-commutativity of space-time on thermodynamics of photon gas ⋮ NEWTON'S EQUATION ON THE κ-SPACETIME AND THE KEPLER PROBLEM ⋮ Parity at the Planck scale ⋮ COVARIANT FORMULATION OF NOETHER'S THEOREM FOR κ-MINKOWSKI TRANSLATIONS ⋮ A CYCLIC INTEGRAL ON κ-MINKOWSKI NONCOMMUTATIVE SPACE–TIME ⋮ STAR PRODUCT AND INTERACTING FIELDS ON κ-MINKOWSKI SPACE ⋮ Phase-space noncommutative quantum cosmology ⋮ UNIFORMLY ACCELERATED DETECTOR IN THE κ-DEFORMED DIRAC VACUUM ⋮ Gauge theories on \(\kappa\)-Minkowski spaces: twist and modular operators ⋮ The \(\kappa\)-(A)dS noncommutative spacetime ⋮ Field Theory on Kappa-spacetime ⋮ Effects of noncommutativity on the black hole entropy ⋮ κ-DEFORMED DIRAC EQUATION ⋮ Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory ⋮ On the L_∞ structure of Poisson gauge theory ⋮ Geometrizing the Klein–Gordon and Dirac equations in doubly special relativity

Cites Work

• Unnamed Item
• Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Compact matrix pseudogroups
• Multiparametric quantum deformation of the general linear supergroup
• Deformation theory and quantization. I: Deformations of symplectic structures
• \(\kappa\)-deformed Wigner construction of relativistic wave functions and free fields on \(\kappa\)-Minkowski space
• Doubly special relativity theories as different bases of \(\kappa\)-Poincaré algebra
• Differential calculus on compact matrix pseudogroups (quantum groups)
• A new ``null-plane quantum Poincaré algebra
• 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.
• THE CLASSICAL BASIS FOR κ-DEFORMED POINCARÉ ALGEBRA AND SUPERALGEBRA
• KONTSEVICH'S UNIVERSAL FORMULA FOR DEFORMATION QUANTIZATION AND THE CAMPBELL–BAKER–HAUSDORFF FORMULA
• Quantized Space-Time
• Noncommutative field theory
• Quantum field theory on noncommutative spaces

This page was built for publication: Deformed field theory on \(\kappa\)-spacetime