No parity anomaly in massless QED3: a BPHZL approach
Abstract
In this letter we call into question the perturbatively parity breakdown at 1-loop for the massless QED_3 frequently claimed in the literature. As long as perturbative quantum field theory is concerned, whether a parity anomaly owing to radiative corrections exists or not will be definitely proved by using a renormalization method independent of any regularization scheme. Such a problem has been investigated in the framework of BPHZL renormalization method, by adopting the Lowenstein-Zimmermann subtraction scheme. The 1-loop parity-odd contribution to the vacuum-polarization tensor is explicitly computed in the framework of the BPHZL renormalization method. It is shown that a Chern-Simons term is generated at that order induced through the infrared subtractions -- which violate parity. We show then that, what is called parity anomaly, is in fact a parity-odd counterterm needed for restauring parity.
Keywords
Cite
@article{arxiv.0908.1552,
title = {No parity anomaly in massless QED3: a BPHZL approach},
author = {Oswaldo M. Del Cima and Daniel H. T. Franco and Olivier Piguet and Manfred Schweda},
journal= {arXiv preprint arXiv:0908.1552},
year = {2009}
}
Comments
4 pages, no figures, to appear in Physics Letters B