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

Understand

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.