Bounding Noncommutative QCD

Abstract

Jurco, Moller, Schraml, Schupp, and Wess have shown how to construct noncommutative SU(N) gauge theories from a consistency relation. Within this framework, we present the Feynman rules for noncommutative QCD and compute explicitly the most dangerous Lorentz-violating operator generated through radiative corrections. We find that interesting effects appear at the one-loop level, in contrast to conventional noncommutative U(N) gauge theories, leading to a stringent bound. Our results are consistent with others appearing recently in the literature that suggest collider limits are not competitive with low-energy tests of Lorentz violation for bounding the scale of spacetime noncommutativity.

13 pages RevTeX, 2 eps figures, comment on gauge invariance and one reference added

Cited by in corpus (137)

• Gravity, Lorentz Violation, and the Standard Model
• Signals for Lorentz Violation in Electrodynamics
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Lorentz and CPT Violation in Neutrinos
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• One-Loop Renormalization of Lorentz-Violating Electrodynamics
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• What Do We Know About Lorentz Invariance?
• Spacetime-varying couplings and Lorentz violation
• Vacuum Cherenkov radiation
• Probing Lorentz and CPT violation with space-based experiments
• Review of the Phenomenology of Noncommutative Geometry
• The Cherenkov effect in Lorentz-violating vacua
• Non-Commutative GUTs, Standard Model and C,P,T
• Threshold analyses and Lorentz violation
• Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
• Dirac theory within the Standard-Model Extension
• Testing spatial noncommutativiy via the Aharonov-Bohm effect
• Cosmological acceleration, varying couplings, and Lorentz breaking
• Noncommutative Geometry and Cosmology
• The Z -> gamma gamma, gg Decays in the Noncommutative Standard Model
• The photon-neutrino interaction in non-commutative gauge field theory and astrophysical bounds
• Limits on isotropic Lorentz violation in QED from collider physics
• Redefining Spinors in Lorentz-Violating QED
• Testing the Noncommutative Standard Model at a Future Photon Collider
• Quantum Black Hole in the Generalized Uncertainty Principle Framework
• Noncommutative Gauge Theory without Lorentz Violation
• Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
• Lorentz and CPT Violation in the Higgs Sector
• The Standard Model on Non-Commutative Space-Time: Strong Interactions Included
• Probing the Noncommutative Standard Model at Hadron Colliders
• Classical-physics applications for Finsler $b$ space
• Snowmass White Paper: Beyond the Standard Model effects on Neutrino Flavor
• Casimir effects in Lorentz-violating scalar field theory
• Anomaly freedom in Seiberg-Witten noncommutative gauge theories
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Dimensional Reduction over Fuzzy Coset Spaces
• Supersymmetric Noncommutative QED and Lorentz Violation
• Measuring the stability of fundamental constants with a network of clocks
• Lorentz violation in the gravity sector: The t puzzle
• Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory
• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• Quantization and stability of bumblebee electrodynamics
• Bianchi spacetimes in noncommutative phase-space
• Dilaton Cosmology, Noncommutativity and Generalized Uncertainty Principle
• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
• Signals for Non-Commutative QED in $e\gamma$ and $\gamma \gamma$ Collisions
• Non-Commutativity and Unitarity Violation in Gauge Boson Scattering
• Signals for Non-Commutative QED in $e\gamma$ and $\gamma \gamma$ Collisions
• The Gauge Anomaly and the Seiberg-Witten Map
• Noncommutative Quantum Mechanics and Seiberg-Witten Map
• Phenomenology of Particle Production and Propagation in String-Motivated Canonical Noncommutative Spacetime
• Generalized uncertainty principle in Bianchi type I quantum cosmology
• What are the Bounds on Space-Time Noncommutativity?
• Noncommutative Conformally Coupled Scalar Field Cosmology and its Commutative Counterpart
• Influence of Lorentz- and CPT-violating terms on the Dirac equation
• Casimir effect between ponderable media as modeled by the standard model extension
• Non-local on-shell field redefinition for the SME
• Late time acceleration in a deformed phase space model of dilaton cosmology
• Quarkonia decays into two photons induced by the space-time non-commutativity
• Effective Field Theories on Non-Commutative Space-Time
• Constraining spacetime noncommutativity with primordial nucleosynthesis
• Photon Neutrino Scattering in Non-Commutative Space
• Phenomenology of Lorentz-Conserving Noncommutative QED
• Unusual High-Energy Phenomenology of Lorentz-Invariant Noncommutative Field Theories
• Casimir Effect in Horava-Lifshitz-like theories
• Parton Model in Lorentz Invariant Non-Commutative Space
• Breaking CPT by mixed non-commutativity
• On the IR/UV mixing and experimental limits on the parameters of canonical noncommutative spacetimes
• Probing noncommutative theories with quantum optical experiments
• Gauge theories on quantum spaces
• Probing Noncommutative Space-Time in the Laboratory Frame
• Noncommutativity, generalized uncertainty principle and FRW cosmology
• $t\to bW$ in NonCommutative Standard Model
• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• Second order expansions of action functionals of noncommutative gauge theories
• Spontaneous Breaking of Lorentz Symmetry with an antisymmetric tensor
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Triple Neutral Gauge Boson Couplings in Noncommutative Standard Model
• Non-commutative multi-dimensional cosmology
• Telltale Traces of U(1) Fields in Noncommutative Standard Model Extensions
• Lorentz violation in a uniform newtonian gravitational field
• Four-dimensional Gravity on a Covariant Noncommutative Space
• Discerning Noncommutative Extra Dimensions
• The μ\to eγand τ\to μγdecays with the inclusion of Lorentz and CPT violating effects
• The Z--> l^+ l^- and W--> nu_l l^+ decays in the noncommutative standard model}}
• Supersymmetry and the Lorentz Fine Tuning Problem
• Non-singular Brans-Dicke collapse in deformed phase space
• Gauge Theories on Deformed Spaces
• Bounds on Lorentz and CPT Violation from the Earth-Ionosphere Cavity
• A note about the quantum of area in a non-commutative space
• Field Theory in Noncommutative Minkowski Superspace
• Casimir effect in Lorentz-violating scalar field theory: a local approach
• Quantum Electrodynamics on Noncommutative Spacetime
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED
• The Energy-Momentum Tensor in Noncommutative Gauge Field Models
• Cavity tests of parity-odd Lorentz violations in electrodynamics
• Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks
• Casimir energy and topological mass for a massive scalar field with Lorentz violation
• The decay $b\to s\gamma$ in the presence of a constant antisymmetric tensor field
• The inclusive b -> s γdecay in the noncommutative standard model
• Loop correction to the scalar Casimir energy density and generation of topological mass due to a helix boundary condition in a scenario with Lorentz violation
• Lorentz symmetry breaking in the noncommutative Wess-Zumino model: One loop corrections
• Quantum noncommutative multidimensional cosmology
• Beta-Decay Spectrum and Lorentz Violation
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• A fundamental length as a candidate for dark energy: a DSR inspired FRW spacetime
• Phenomenology of Noncommutative Field Theories
• The three-dimensional noncommutative Gross-Neveu model
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
• Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED
• Possible Effects of Noncommutative Geometry on Weak CP Violation and Unitarity Triangles
• Scalar Casimir effects in a Lorentz violation scenario induced by the presence of constant vectors
• Probe Noncommutative Space-Time Scale Using $\gamma \gamma \to Z$ At ILC
• Noncommutative geometry induced by spin effects
• The cosmological implications of a fundamental length: a DSR inspired de-Sitter spacetime
• Cosmological Constant and Noncommutativity: A Newtonian point of view
• Noncommutative QCD corrections to the gluonic decays of heavy quarkonia
• A Field Theoretical Model in Noncommutative Minkowski Superspace
• Path integral action of a particle in a magnetic field in the noncommutative plane and the Aharonov-Bohm effect
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• Observational Constraints on Local Lorentz Invariance
• Evaluating matrix elements relevant to some Lorenz violating operators
• Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions
• Atomic and optical tests of Lorentz symmetry
• QSNET, a network of clocks for measuring the stability of fundamental constants
• Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space
• Noncommutative 6D Gauge Higgs Unification Models
• Entropy of black holes, charged probes and noncommutative generalization
• Probing Relativity using Space-Based Experiments
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Scalar Casimir effect for a conducting cylinder in a Lorentz violating background
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space