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

TL;DR

This paper improves a non-commutative gauge model by introducing auxiliary fields and ghosts, aiming to achieve localization of problematic terms and potentially establish renormalizability without adding extra degrees of freedom.

Contribution

It introduces a BRST doublet structure to localize problematic terms in a non-commutative gauge model, advancing towards renormalizability.

Findings

Localization of 1/D^2 term achieved without extra degrees of freedom

Model suspected to be renormalizable

No rigorous proof of renormalizability provided

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.