On Non-Commutative U*(1) Gauge Models and Renormalizability

TL;DR

This paper introduces a modified non-commutative U*(1) gauge model with IR damping and improved renormalizability by adding a soft breaking term that absorbs IR divergences, supported by explicit one-loop calculations.

Contribution

It presents a new non-commutative U*(1) gauge model with a soft breaking term that enhances IR damping and renormalizability, maintaining gauge symmetry and BRST structure.

Findings

The model exhibits IR damping behavior.

One-loop renormalization of gauge boson propagator is achieved.

Quadratic IR divergences are absorbed by the new breaking term.

Abstract

Based on our recent findings regarding (non-)renormalizability of non-commutative U*(1) gauge theories [arxiv:0908.0467, arxiv:0908.1743] we present the construction of a new type of model. By introducing a soft breaking term in such a way that only the bilinear part of the action is modified, no interaction between the gauge sector and auxiliary fields occurs. Demanding in addition that the latter form BRST doublet structures, this leads to a minimally altered non-commutative U*(1) gauge model featuring an IR damping behavior. Moreover, the new breaking term is shown to provide the necessary structure in order to absorb the inevitable quadratic IR divergences appearing at one-loop level in theories of this kind. In the present paper we compute Feynman rules, symmetries and results for the vacuum polarization together with the one-loop renormalization of the gauge boson propagator and the three-point functions.