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In this short letter, we rediscuss the model for non-commutative U(1) gaugetheory presented in [arXiv:0912.2634] and argue that by treating the"soft-breaking terms" of that model in the realm of an extended BRST symmetry,a future renormalization proof using Algebraic Renormalization should bepossible despite the fact that the non-commutative model is non-local. In fact,the non-localities could be treated in a way similar to commutative gaugetheories with axial gauge fixing where certain non-local poles appear.

Extended BRST formulation of a non-commutative U(1) gauge model