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A Simple Proof of the Non-Renormalization of the Chern-Simons Coupling

Makoto Sakamoto, Hiroyuki Yamashita

Published 1999-10-26, updated 2000-02-05Version 3

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.

Comments: LaTex, 8 pages, no figures. to appear in Physics Letters B
Journal: Phys.Lett. B476 (2000) 427-430
Categories: hep-th
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