Translation-invariant models for non-commutative gauge fields

Abstract

Motivated by the recent construction of a translation-invariant renormalizable non-commutative model for a scalar field (see arXiv:0802.0791 [math-ph]), we introduce models for non-commutative U(1) gauge fields along the same lines. More precisely, we include some extra terms into the action with the aim of getting rid of the UV/IR mixing.

9 pages

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Cited by in corpus (35)

• On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review
• Combinatorial Dyson-Schwinger equations in noncommutative field theory
• One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model
• Commutative limit of a renormalizable noncommutative model
• Quantum gauge theories on noncommutative 3-d space
• Noncommutative geometry, gauge theory and renormalization
• Parametric representation of a translation-invariant renormalizable noncommutative model
• Gauge theories on quantum spaces
• Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term
• Particle-like solutions to classical noncommutative gauge theory
• Exact Partition Functions for Gauge Theories on ${\mathbb{R}}_{\lambda }^3$
• On Non-Commutative U*(1) Gauge Models and Renormalizability
• Gauge Theories on Deformed Spaces
• Deformations of quantum field theories on spacetimes with Killing vector fields
• On the Renormalizability of Noncommutative U(1) Gauge Theory - an Algebraic Approach
• Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory
• A New Approach to Non-Commutative U(N) Gauge Fields
• Improved Localization of a Renormalizable Non-Commutative Translation Invariant U(1) Gauge Model
• The Gribov problem in Noncommutative QED
• One-loop $\beta$ functions of a translation-invariant renormalizable noncommutative scalar model
• On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
• Derivations of the Moyal Algebra and Noncommutative Gauge Theories
• On the Renormalization of Non-Commutative Field Theories
• BPHZ renormalization and its application to non-commutative field theory
• One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative 1/p**2 U(1) Gauge Model
• The Gribov problem in Noncommutative gauge theory
• Translation-Invariant Noncommutative Renormalization
• Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution
• One-loop structure of the U(1) gauge model on the truncated Heisenberg space
• Strong Field, Noncommutative QED
• Quantization of a gauge theory on a curved noncommutative space
• Renormalization of the commutative scalar theory with harmonic term to all orders
• Gauge Fields on Non-Commutative Spaces and Renormalization
• On NCQFT and dimensionless insertions
• Extended BRST formulation of a non-commutative U(1) gauge model