Emergence of Lowenstein-Zimmermann mass terms for QED$_{3}$
High Energy Physics - Theory
2016-01-29 v2 Mathematical Physics
math.MP
Abstract
In this paper we consider a super-renormalizable theory of massless QED in 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-Zimmerman mass terms, containing Lowenstein-Zimmerman parameter which plays an important role in the BPHZL renormalization program, along with the external sources coupled to the non-linear BRST variations appear naturally in the theory through a FFBRST transformation.
Keywords
Cite
@article{arxiv.1407.2017,
title = {Emergence of Lowenstein-Zimmermann mass terms for QED$_{3}$},
author = {Sudhaker Upadhyay and Manoj Kumar Dwivedi and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:1407.2017},
year = {2016}
}
Comments
7 pages, Revtex, no figure, version to appear in Int. J. Mod. Phys. A