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arXiv · hep-th/9403116

Renormalization Ambiguities in Chern-Simons Theory

M. Asorey·F. Falceto·J. L. Lopez·G. Luzon
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Abstract

We introduce a new family of gauge invariant regularizations of Chern-Simons theories which generate one-loop renormalizations of the coupling constant of the form $k\to k+2 s c_v$ where $s$ can take any arbitrary integer value. In the particular case $s=0$ we get an explicit example of a gauge invariant regularization which does not generate radiative corrections to the bare coupling constant. This ambiguity in the radiative corrections to $k$ is reminiscent of the Coste-Lüscher results for the parity anomaly in (2+1) fermionic effective actions.

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M. Asorey, F. Falceto, J. L. Lopez, G. Luzon. 2001-05-19. Renormalization Ambiguities in Chern-Simons Theory. https://doi.org/10.1103/physrevd.49.5377

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