The role of the field redefinition in noncommutative Maxwell theory

TL;DR

This paper investigates how field redefinitions influence one-loop photon vacuum polarization corrections in first-order noncommutative Maxwell theory using the Seiberg-Witten map, revealing their relation to BRST-shift symmetry.

Contribution

It demonstrates that radiative corrections in noncommutative Maxwell theory can be understood through Ward-identity associated with BRST-shift symmetry induced by field redefinitions.

Findings

Radiative corrections are consistent with Ward-identity.

Field redefinitions clarify the structure of quantum corrections.

BRST-shift symmetry plays a key role in the analysis.

Abstract

We discuss $\theta$-deformed Maxwell theory at first order in $\theta$ with the help of the Seiberg-Witten (SW) map. With an appropriate field redefinition consistent with the SW-map we analyse the one-loop corrections of the vacuum polarization of photons. We show that the radiative corrections obtained in a previous work may be described by the Ward-identity of the BRST-shift symmetry corresponding to a field redefinition.