Renormalization of noncommutative Yang-Mills theories: A simple example

Abstract

We prove by explicit calculation that Feynman graphs in noncommutative Yang-Mills theory made of repeated insertions into itself of arbitrarily many one-loop ghost propagator corrections are renormalizable by local counterterms. This provides a strong support for the renormalizability conjecture of that model.

11 pages, LaTeX 2e, 6 figures

References in corpus (5)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Noncommutative Perturbative Dynamics
• Magnetic fields, branes and noncommutative geometry
• The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative R^4
• Renormalization of Quantum Field Theories on Noncommutative R^d, I. Scalars

Cited by in corpus (26)

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• Noncommutative Solitons
• Comments on Noncommutative Perturbative Dynamics
• A Short Survey of Noncommutative Geometry
• Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
• Noncommutative QED and Anomalous Dipole Moments
• Renormalization of noncommutative U(N) gauge theories
• Axial Anomaly in Noncommutative QED on R^4
• Evidence for Winding States in Noncommutative Quantum Field Theory
• Noncommutative Gauge Dynamics From The String Worldsheet
• Stretched Strings in Noncommutative Field Theory
• A Note on UV/IR for Noncommutative Complex Scalar Field
• Instability of Non-Commutative SYM Theories at Finite Temperature
• Excitations in Hot Non-Commutative Theories
• The Noncommutative Supersymmetric Nonlinear Sigma Model
• UV/IR Mixing for Noncommutative Complex Scalar Field Theory, II (Interaction with Gauge Fields)
• Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
• Gauge Theories on Deformed Spaces
• Non-commutative U(1) Super-Yang-Mills Theory: Perturbative Self-Energy Corrections
• The low energy limit of the non-commutative Wess-Zumino model
• On the Operator Product Expansion in Noncommutative Quantum Field Theory
• Derivations of the Moyal Algebra and Noncommutative Gauge Theories
• Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories
• Quantum field theories on noncommutative R^4 versus theta-expanded quantum field theories
• Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry
• Wave Propagation and IR/UV Mixing in Noncommutative Spacetimes