  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.
