Renormalization of noncommutative U(N) gauge theories

Abstract

We give an explicit proof that the noncommutative U(N) gauge theories are one-loop renormalizable

12 pages, Latex. v3: calculations redone, conclusions reversed. v4, v5: minor changes

References in corpus (31)

• String Theory and Noncommutative Geometry
• Noncommutative Perturbative Dynamics
• Bound States Of Strings And $p$-Branes
• Noncommutative Open String and D-brane
• D-branes and the Noncommutative Torus
• Gauge Theory on Noncommutative Spaces
• The IR/UV Connection in the Non-Commutative Gauge Theories
• Noncommutative Geometry From Strings and Branes
• Constrained Quantization of Open String in Background B Field and Noncommutative D-brane
• The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative R^4
• Comments on Noncommutative Perturbative Dynamics
• Noncommutative Geometry from D0-branes in a Background B-field
• Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R^4
• Perturbative quantum gauge fields on the noncommutative torus
• Noncommutative ${\Phi }^4$ Theory at Two Loops
• Dirac Quantization of Open Strings and Noncommutativity in Branes
• Noncommutative SO(n) and Sp(n) Gauge Theories
• One Loop Renormalizability of Supersymmetric Yang-Mills Theories on Noncommutative Two-Torus
• Invariant tensors for simple groups
• A Consistent Noncommutative Field Theory: the Wess-Zumino Model
• *-TREK: The One-Loop N=4 Noncommutative SYM Action
• Noncommutative Gauge Dynamics From The String Worldsheet
• A Note on UV/IR for Noncommutative Complex Scalar Field
• On the ultraviolet behaviour of quantum fields over noncommutative manifolds
• Renormalization of noncommutative Yang-Mills theories: A simple example
• String Theory and Noncommutative Field Theories at One Loop
• UV/IR Mixing for Noncommutative Complex Scalar Field Theory, II (Interaction with Gauge Fields)
• Multiloop String Amplitudes with B-Field and Noncommutative QFT
• Noncommutative perturbation in superspace
• Finite Field Theory on Noncommutative Geometries
• Noncommutative Regularization for the Practical Man

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• Quantum Field Theory on Noncommutative Spaces
• Signals for Non-Commutative Interactions at Linear Colliders
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• Non-renormalizability of θ-expanded noncommutative QED
• Noncommutative Gauge Field Theories: A No-Go Theorem
• Renormalizability of noncommutative SU(N) gauge theory
• The one-loop renormalization of the gauge sector in the noncommutative standard model
• Non-Commutativity and Unitarity Violation in Gauge Boson Scattering
• CP violation from noncommutative geometry
• One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory
• Quarkonia decays into two photons induced by the space-time non-commutativity
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED${}_4$
• Non-renormalizability of noncommutative SU(2) gauge theory
• On the finiteness of noncommutative supersymmetric QED${}_3$ in the covariant superfield formulation
• Consistent noncommutative quantum gauge theories?
• Ultra-violet Finiteness in Noncommutative Supersymmetric Theories
• On the UV renormalizability of noncommutative field theories
• Location and Direction Dependent Effects in Collider Physics from Noncommutativity
• The BRS invariance of noncommutative U(N) Yang-Mills theory at the one-loop level
• Dynamical Breaking of Supersymmetry in Noncommutative Gauge Theories
• Non-Commutative Geometry from Strings
• Noncommutative Standard Modelling
• Gauge Generators, Transformations and Identities on a Noncommutative Space
• Particle phenomenology on noncommutative spacetime
• Lorentz Violation in the Higgs Sector and Noncommutative Standard Model
• Chiral anomalies in noncommutative gauge theories
• Non-commutative (D)-instantons
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Ultra-violet Finite Noncommutative Theories
• Regularization of Non-commutative SYM by Orbifolds with Discrete Torsion and SL(2,Z) Duality
• Hamiltonian formulation of nonAbelian noncommutative gauge theories
• Tree amplitudes of noncommutative U(N) Yang-Mills Theory
• Hamiltonian embedding of the massive noncommutative U(1) theory
• D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
• Transport equation and hard thermal loops in noncommutative Yang-Mills theory
• Noncommutative SU(N) and Gauge Invariant Baryon Operator
• The static effective action for non-commutative QED at high temperature
• Validity of Goldstone Theorem at Two Loops in Noncommutative U(N) Linear Sigma Model
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• Possible Effects of Noncommutative Geometry on Weak CP Violation and Unitarity Triangles
• Noncommutative N=1 super Yang-Mills, the Seiberg-Witten map and UV divergences
• A Noncommutative Version of the Minimal Supersymmetric Standard Model
• Classical transport equation in non-commutative QED at high temperature
• Hard Thermal Effects in Noncommutative U(N) Yang-Mills Theory
• Noncommutative QED+QCD and $\beta$-function for QED
• Transport equation for the photon Wigner operator in non-commutative QED
• Higgs Couplings in NonCommutative Standard Model
• Noncommutative QCD corrections to the gluonic decays of heavy quarkonia
• On Evaluation of Nonplanar Diagrams in Noncommutative Field Theory
• Renormalization of the energy-momentum tensor in noncommutative scalar field theory
• One-loop renormalization of general noncommutative Yang-Mills field model coupled to scalar and spinor fields
• Dispersion relations for the self-energy in non-commutative field theories
• Nonequivalent Seiberg-Witten maps for noncommutative massive U(N) gauge theory
• The Hamiltonian BRST quantization of a noncommutative nonabelian gauge theory and its Seiberg-Witten map
• One Loop Renormalizability of Spontaneously Broken Gauge Theory with a Product of Gauge Groups on Noncommutative Spacetime: the U(1) x U(1) Case
• Gauge-invariant extensions of the Proca model in a noncommutative space-time
• Non-orientable string one-loop corrections in the presence of a B field
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Quantum Systems Exactly
• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC
• Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\ne U(N)$
• Grand Unification on Noncommutative Spacetime
• Noncommutative Regularization In Gauge Theories
• Non-Commutative Gauge Theories and the Cosmological Constant
• One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
• Operator Regularization and Large Noncommutative Chern Simons Theory
• Theories on noncommutative spaces and deformed symmetries