A New Approach to Non-Commutative U(N) Gauge Fields

Abstract

Based on the recently introduced model of arXiv:0912.2634 for non-commutative U(1) gauge fields, a generalized version of that action for U(N) gauge fields is put forward. In this approach to non-commutative gauge field theories, UV/IR mixing effects are circumvented by introducing additional 'soft breaking' terms in the action which implement an IR damping mechanism. The techniques used are similar to those of the well-known Gribov-Zwanziger approach to QCD.

11 pages; v2 minor corrections

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Cited by in corpus (16)

• Quantum gauge theories on noncommutative 3-d space
• Noncommutative gauge theories on ${\mathbb{R}}_{\theta }^2$ as matrix models
• Self-energies on deformed spacetimes
• Exact Partition Functions for Gauge Theories on ${\mathbb{R}}_{\lambda }^3$
• Noncommutative gauge theories on ${\mathbb{R}}_{\lambda }^3$: Perturbatively finite models
• Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences
• Photon self-interaction on deformed spacetime
• On the Renormalization of Non-Commutative Field Theories
• Two-Point Functions on Deformed Spacetime
• BPHZ renormalization and its application to non-commutative field theory
• Aspects of perturbative quantum field theory on non-commutative spaces
• One-loop structure of the U(1) gauge model on the truncated Heisenberg space
• Spectral theorem in noncommutative field theories: Jacobi dynamics
• Wavelet regularization of gauge theories
• Gauge Fields on Non-Commutative Spaces and Renormalization
• Extended BRST formulation of a non-commutative U(1) gauge model