On the unitarity problem in space/time noncommutative theories

Abstract

It is shown that the violation of unitarity observed in space/time noncommutative field theories is due to an improper definition of quantum field theory on noncommutative spacetime.

7 pages; typos corrected, sign convention changed on p.2

References in corpus (2)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Remarks on Time-Space Noncommutative Field Theories

Cited by in corpus (174)

• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• General Properties of Noncommutative Field Theories
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Cosmological perturbations and short distance physics from Noncommutative Geometry
• The photon-neutrino interaction in non-commutative gauge field theory and astrophysical bounds
• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• The Standard Model on Non-Commutative Space-Time: Electroweak Currents and Higgs Sector
• Time-ordered Perturbation Theory on Noncommutative Spacetime: Basic Rules
• Testing the Noncommutative Standard Model at a Future Photon Collider
• Time-ordered Perturbation Theory on Noncommutative Spacetime II: Unitarity
• Phase diagram and dispersion relation of the non-commutative λϕ^{4} model in d=3
• A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
• On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review
• Twisted Noncommutative Field Theory with the Wick-Voros and Moyal Products
• Twisted Galilean symmetry and the Pauli principle at low energies
• Noncommutative field theory with the Wick-Voros product
• Field Theory on Noncommutative Spacetimes: Quasiplanar Wick Products
• Magnetic Backgrounds and Noncommutative Field Theory
• Spacetime and Fields, a Quantum Texture
• Noncommutative Integrable Field Theories in 2d
• Phenomenology of Particle Production and Propagation in String-Motivated Canonical Noncommutative Spacetime
• Remarks on twisted noncommutative quantum field theory
• Noncommutative Quantum Field Theories
• Space/time noncommutative field theories and causality
• Unitarity in space-time noncommutative field theories
• Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole
• Twisted Gauge and Gravity Theories on the Groenewold-Moyal Plane
• kappa-deformed Spacetime From Twist
• Nonuniform symmetry breaking in noncommutative $\lambda {\Phi }^4$ theory
• Path Integral for Space-time Noncommutative Field Theory
• Noncommutative Scalar Field Coupled to Gravity
• Lorentz Invariance And Unitarity Problem In Non-Commutative Field Theory
• On the IR/UV mixing and experimental limits on the parameters of canonical noncommutative spacetimes
• Noncommutative Field Theory from twisted Fock space
• The Compton-Schwarzschild correspondence from extended de Broglie relations
• Building non commutative spacetimes at the Planck length for Friedmann flat cosmologies
• Space-Time Noncommutativity from Particle Mechanics
• $t\to bW$ in NonCommutative Standard Model
• Trouble with space-like noncommutative field theory
• Noncommutative Synchrotron
• Spectral Representation and Dispersion Relations in Field Theory on Noncommutative Space
• Quantum Field Theory: Where We Are
• Quantum Fields with Noncommutative Target Spaces
• Noncommutative Geometries and Gravity
• On second quantization on noncommutative spaces with twisted symmetries
• Twisted Poincare Invariance, Noncommutative Gauge Theories and UV-IR Mixing
• Time ordered perturbation theory for non-local interactions; applications to NCQFT
• Some Phenomenological Consequences of the Time-Ordered Perturbation Theory of QED on Noncommutative Spacetime
• Perturbative Approach to Higher Derivative Theories with Fermions
• On general properties of Lorentz invariant formulation of noncommutative quantum field theory
• Non--Commutative Field Theories beyond Perturbation Theory
• Curing the UV/IR mixing for field theories with translation-invariant $\star$ products
• Position-dependent noncommutative products: classical construction and field theory
• Quantum Spacetime: a Disambiguation
• Quantum Field Theory on Quantum Spacetime
• Duality covariant quantum field theory on noncommutative Minkowski space
• Gauge Theories on Deformed Spaces
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Hair distributions in noncommutative Einstein-Born-Infeld black holes
• No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
• Finite axionic electrodynamics from a new noncommutative approach
• $\kappa -$Minkowski spacetime and a uniformly accelerating observer
• Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED
• Hair formation in the background of noncommutative reflecting stars
• Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology
• QED on the Groenewold Moyal Plane
• Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential
• A New Limit for the Non-Commutative Space-Time Parameter
• Twisted Covariance as a Non Invariant Restriction of the Fully Covariant DFR Model
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Galilean symmetry in noncommutative Gravitational Quantum Well
• Noncommutative Correction to the Aharonov-Bohm Scattering: a Field Theory Approach
• Noncommutative Supersymmetric/Integrable Models and String Theory
• Pauli Oscillator In Noncommutative Space
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• On the finiteness of the noncommutative supersymmetric Maxwell-Chern-Simons theory
• Quantized equations of motion in non-commutative theories
• Unitary Quantum Field Theory on the Noncommutative Minkowski space
• Consistent Interactions of the 2+1 Dimensional Noncommutative Chern-Simons Field
• On the mass spectrum of noncommutative Schwinger model in Euclidean ${\mathbb{R}}^2$ space
• On the energy-momentum tensor in Moyal space
• Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach
• The Principle of Locality. Effectiveness, fate and challenges
• Ultraviolet Finiteness of the averaged Hamiltonian on the noncommutative Minkowski space
• Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential
• Blackbody radiation in κ-Minkowski spacetime
• The ultraviolet infrared mixing problem on the noncommutative Moyal space
• Spontaneous Symmetry Breaking in Twisted Noncommutative Quantum Theories
• Infrared cutoffs and the adiabatic limit in noncommutative spacetime
• Troubles with Spacetime Noncommutative Theories: Tachyons or S-branes?
• Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
• On the Renormalization of Non-Commutative Field Theories
• Non Local Theories: New Rules for Old Diagrams
• On the unitarity of higher-dervative and nonlocal theories
• Noncommutative Field Theory: Nonrelativistic Fermionic Field Coupled to the Chern-Simons Field in 2+1 Dimensions
• Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED
• Noncommutative nonsingular black holes
• Metastring Theory and Modular Space-time
• Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories
• UV/IR duality in noncommutative quantum field theory
• Born--Oppenheimer decomposition for quantum fields on quantum spacetimes
• Perturbation theory of the space-time non-commutative real scalar field theories
• Dispersion relations in the noncommutative ϕ^3 and Wess-Zumino model in the Yang-Feldman formalism
• Canonical analysis of space-time noncommutative theories and gauge symmetries
• Canonical formalism and quantization of perturbative sector of higher-derivative theories
• Field Theory on a Non-commutative Plane: a Non-Perturbative Study
• Tree Unitarity and Partial Wave Expansion in Noncommutative Quantum Field Theory
• Dimensional flow in the kappa-deformed space-time
• Noncommutative geometry induced by spin effects
• Quantum field theories on noncommutative R^4 versus theta-expanded quantum field theories
• (2+1)D Noncommutative CP${}^{N-1}$ Model
• Failure of microcausality in noncommutative field theories
• Propagators and Matrix Basis on Noncommutative Minkowski Space
• The quantum sinh-Gordon model in noncommutative (1+1) dimensions
• On Evaluation of Nonplanar Diagrams in Noncommutative Field Theory
• On the consequences of twisted Poincare' symmetry upon QFT on Moyal noncommutative spaces
• Abelian Toda field theories on the noncommutative plane
• Translation-Invariant Noncommutative Renormalization
• Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism
• Perturbative quantization of two-dimensional space-time noncommutative QED
• Strong Field, Noncommutative QED
• Noncommutative Time in Quantum Field Theory
• Issues on 3D Noncommutative Electromagnetic Duality
• Noncommutative Vortices and Instantons from Generalized Bose Operators
• Towards UV Finite Quantum Field Theories from Non-Local Field Operators
• Emergence of Time from Dimensional Reduction in Noncommutative Geometry
• Unitarity of noncommutative field theories from string theory
• The ultraviolet-finite Hamiltonian approach on the noncommutative Minkowski space
• UV Finite Field Theories on Noncommutative Spacetimes: the Quantum Wick Product and Time Independent Perturbation Theory
• Noncommutative radial waves
• Non Commutative Field Theories and Integrable Models in 2d
• Dispersion relations for the self-energy in non-commutative field theories
• Spin and Statistics and First Principles
• Källén-Lehmann representation of noncommutative quantum electrodynamics
• Coherent States and N Dimensional Coordinate Noncommutativity
• One-loop unitarity of scalar field theories on Poincare invariant commutative nonassociative spacetimes
• Noncommutative scalar field minimally coupled to gravity
• Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
• Space-time noncommutativity with a bifermionic parameter
• Localization at threshold in noncommutative space
• All-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Canonical Quantization, Space-Time Noncommutativity and Deformed Symmetries in Field Theory
• Constraints, gauge symmetries, and noncommutative gravity in two dimensions
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model
• Study of the photon's pole structure in the noncommutative Schwinger model
• The coordinate coherent states approach revisited
• Ultraviolet-infrared mixing on the noncommutative Minkowski space in the Yang-Feldman formalism
• Quantized Equations of Motion and Currents in Noncommutative Theories
• Wave Propagation and IR/UV Mixing in Noncommutative Spacetimes
• Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\ne U(N)$
• Higher Derivative Operators in the Noncommutative Schwinger Model
• Field Theory with Coordinate Dependent Noncommutativity
• DFR Perturbative Quantum Field theory on Quantum Space Time, and Wick Reduction
• Consistent Construction of Perturbation Theory on Noncommutative Spaces
• Non-Commutative Extensions of the Standard Model
• Twisted bosonization in two dimensional noncommutative spacetime
• Space-time noncommutativity and (1+1) Higgs Model
• Noncommutativity and the lightfront
• QFT on homothetic Killing twist deformed curved spacetimes
• One-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• A Lie-Algebra model for a noncommutative space time geometry
• Noncommutative instantons on $d=2n$ planes from matrix models
• The interface of noncommutative geometry and physics
• Comment on the Decoupling of UV and IR Divergencies within Dimensional Regularization in Noncommutative Theories
• Comments on Noncommutative Field Theories
• Topics in Noncommutative Gauge Theories and Deformed Relativistic Theories
• Renormalization on the DFR Quantum Spacetime
• The G-wavefront set and the twisted convolution product
• Quantum Space-Time and Noncommutative Gauge Field Theories
• Neutrino-Antineutrino Asymmetry From The Space-time Noncommutativity
• Bumblebee field in a Topological Framework
• Wick rotation for quantum field theories on degenerate Moyal space(-time)
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
• On the Non-Flatness Nature of Noncommutative Minkowski Spacetime and the Singular Behavior of Probes