2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51148We discuss $θ$-deformed Maxwell theory at first order in $θ$ 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.13 pages, amsLaTeXHigh Energy Physics - Theorytext