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

Makoto Sakamoto·Hiroyuki Yamashita
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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.

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Makoto Sakamoto, Hiroyuki Yamashita. 2000-02-05. A Simple Proof of the Non-Renormalization of the Chern-Simons Coupling. https://doi.org/10.1016/s0370-2693(00)00146-5

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