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

TL;DR

This paper proposes an extended BRST symmetry approach to a non-commutative U(1) gauge model, aiming to facilitate its renormalization despite inherent non-localities.

Contribution

It introduces an extended BRST framework to handle soft-breaking terms in non-commutative gauge theories, paving the way for algebraic renormalization proof.

Findings

Extended BRST symmetry can incorporate non-localities.

Potential for algebraic renormalization of non-commutative models.

Framework aligns with techniques used in axial gauge fixing.

Abstract

In this short letter, we rediscuss the model for non-commutative U(1) gauge theory 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 be possible 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 gauge theories with axial gauge fixing where certain non-local poles appear.