Deformed Coordinate Spaces; Derivatives

Abstract

Lecture given at BW2003 Workshop "Mathematical, Theoretical and Phenomenological Challenges Beyond Standard Model" 29 August-02 September, 2003 Vrnjacka Banja, Serbia

8 pages, reference added

References in corpus (1)

• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT

Cited by in corpus (83)

• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• New Lie-Algebraic and Quadratic Deformations of Minkowski Space from Twisted Poincare Symmetries
• Comments on noncommutative gravity
• Emergent Gravity from Noncommutative Spacetime
• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• Twisted Gauge Theories
• Twisting all the way: from Classical Mechanics to Quantum Fields
• Second Order Noncommutative Corrections to Gravity
• Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics
• Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products
• Noncommutative field theory with the Wick-Voros product
• Remarks on the Noncommutative Gravitational Quantum Well
• On The Correspondence Between Noncommuative Field Theory And Gravity
• Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
• Remarks on twisted noncommutative quantum field theory
• Space-Time Symmetries of Noncommutative Spaces
• Noncommutative field theory from angular twist
• Translation Invariance, Commutation Relations and Ultraviolet/Infrared Mixing
• Instantons and Emergent Geometry
• Braided quantum field theories and their symmetries
• Noncommutative spacetime symmetries: Twist versus covariance
• Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory
• Noncommutative Symmetries and Gravity
• Observables and Dispersion Relations in k-Minkowski Spacetime
• Noncommutative Geometries and Gravity
• Inequivalence of QFT's on Noncommutative Spacetimes: Moyal versus Wick-Voros
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
• Braided $L_{\infty }$-Algebras, Braided Field Theory and Noncommutative Gravity
• Canonical and Lie-algebraic twist deformations of Galilei algebra
• Quantum Spacetime: a Disambiguation
• An Interpretation of Noncommutative Field Theory in Terms of a Quantum Shift
• Doubly Special Relativity as a Limit of Gravity
• Braided Symmetries in Noncommutative Field Theory
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• $\kappa$-Poincaré-comodules, Braided Tensor Products and Noncommutative Quantum Field Theory
• A novel approach to non-commutative gauge theory
• QED on the Groenewold Moyal Plane
• Field Theory on Nonanticommutative Superspace
• Twisted Covariance as a Non Invariant Restriction of the Fully Covariant DFR Model
• Lorentz Covariant k-Minkowski Spacetime
• N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras
• Non-commutative Quantum Mechanics in Three Dimensions and Rotational Symmetry
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• QFT with Twisted Poincaré Invariance and the Moyal Product
• Stability of a Noncommutative Jackiw-Teitelboim Gravity
• Global Symmetries of Noncommutative Space-time
• Deformed conformal and super-Poincaré symmetries in the non-(anti)commutative spaces
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Canonical k-Minkowski Spacetime
• The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
• Dynamical origin of the ${\star }_{\theta }$-noncommutativity in field theory from quantum mechanics
• Lie-Poisson gauge theories and $\kappa$-Minkowski electrodynamics
• The Cutkosky rule of three dimensional noncommutative field theory in Lie algebraic noncommutative spacetime
• Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
• UV/IR mixing as a twisted Poincaré anomaly
• Dispersion relations in the noncommutative ϕ^3 and Wess-Zumino model in the Yang-Feldman formalism
• Twisted invariances of noncommutative gauge theories
• Wedge locality and asymptotic commutativity
• Generalized twist deformations of Poincare and Galilei Hopf algebras
• Symmetries in noncommutative field theories: Hopf versus Lie
• Einstein-Riemann Gravity on Deformed Spaces
• The entropy of dense non-commutative fermion gases
• Deformations of Euclidean Supersymmetries
• Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
• On the consequences of twisted Poincare' symmetry upon QFT on Moyal noncommutative spaces
• Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
• Non-anticommutative Supersymmetric Field Theory and Quantum Shift
• Twisted Covariance and Weyl Quantisation
• Oscillator model on Lie-algebraically deformed nonrelativistic space-time
• The Strong Interaction Model in DFR noncommutative space-time
• Generalized twist deformations of Poincare and Galilei quantum groups
• Symmetries and Renormalization of Noncommutative Field Theory
• Hidden symmetry and Hopf algebra
• Vector Field Twisting of Lie-Algebras
• Environment-Induced Decoherence in Noncommutative Quantum Mechanics
• Space-Time Diffeomorphisms in Noncommutative Gauge Theories
• The Structure of Spacetime and Noncommutative Geometry
• Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space
• Theories on noncommutative spaces and deformed symmetries
• Aspects of noncommutativity in field theory, strings and membranes
• Connes distance function on fuzzy sphere and the connection between geometry and statistics
• Twist-Deformed Lorentzian Heisenberg-Algebras