Emergence of Lowenstein-Zimmermann mass terms for QED3

Abstract

In this paper we consider a super-renormalizable theory of massless QED in (2 + 1) dimensions and discuss their BRST symmetry transformation. By extending the BRST transformation, we derive the Nielsen identities for the theory. Further, we compute the generalized BRST (so-called FFBRST) transformation by making the transformation parameter field dependent. Remarkably, we observe that the Lowenstein-Zimmermann mass terms, containing Lowenstein-Zimmermann parameter which plays an important role in the BPHZL renormalization program, along with the external sources coupled to the nonlinear BRST variations appear naturally in the theory through an FFBRST transformation. © 2015 World Scientific Publishing Company.