Gauge Independence of IR singularities in Non-Commutative QFT - and Interpolating Gauges

TL;DR

This paper demonstrates that quadratic IR divergences in non-commutative U(1) Maxwell theory are gauge-independent, confirmed through one-loop calculations using an interpolating gauge between covariant and axial gauges.

Contribution

It shows that IR divergences are independent of gauge choice in non-commutative QFT, extending understanding of gauge invariance in these theories.

Findings

Quadratic IR divergences are gauge-independent at one-loop.

Interpolating gauge confirms gauge independence beyond covariant gauges.

IR divergences do not depend on gauge fixing method.

Abstract

IR divergences of a non-commutative U(1) Maxwell theory are discussed at the one-loop level using an interpolating gauge to show that quadratic IR divergences are independent not only from a covariant gauge fixing but also independent from an axial gauge fixing.