Improved Localization of a Renormalizable Non-Commutative Translation Invariant U(1) Gauge Model

Abstract

Motivated by the recent work of Vilar et al. arXiv:0902.2956 we enhance our non-commutative translation invariant gauge model arXiv:0901.1681 by introducing auxiliary fields and ghosts forming a BRST doublet structure. In this way localization of the problematic 1/D^2 term can be achieved without the necessity for any additional degrees of freedom. The resulting theory is suspected to be renormalizable. A rigorous proof, however, has not been accomplished up to now.

10 pages

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• On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review
• Gauge theories on quantum spaces
• Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term
• On Non-Commutative U*(1) Gauge Models and Renormalizability
• Gauge Theories on Deformed Spaces
• On the Renormalizability of Noncommutative U(1) Gauge Theory - an Algebraic Approach
• A New Approach to Non-Commutative U(N) Gauge Fields
• Gauge fields on noncommutative geometries with curvature
• Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories
• One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative 1/p**2 U(1) Gauge Model
• Translation-Invariant Noncommutative Renormalization
• On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories
• On NCQFT and dimensionless insertions