A Simple Proof of the Non-Renormalization of the Chern-Simons Coupling
High Energy Physics - Theory
2009-10-31 v3
Abstract
We give a very simple proof that the renormalization of the Chern-Simons coupling in the Wilsonian effective action is exhausted at one-loop. Our proof can apply to arbitrary 2+1-dimensional abelian as well as nonabelian gauge theories without a bare Chern-Simons coupling, including any non-renormalizable interactions and non-minimal couplings. Our proof reveals that small (but not large) gauge invariance is enough to ensure the absence of higher order corrections.
Keywords
Cite
@article{arxiv.hep-th/9910200,
title = {A Simple Proof of the Non-Renormalization of the Chern-Simons Coupling},
author = {Makoto Sakamoto and Hiroyuki Yamashita},
journal= {arXiv preprint arXiv:hep-th/9910200},
year = {2009}
}
Comments
LaTex, 8 pages, no figures. to appear in Physics Letters B