Renormalization Ambiguities in Chern-Simons Theory

Details Renormalization Ambiguities in Chern-Simons Theory Renormalization Ambiguities in Chern-Simons Theory

1994-03-19

arxiv.org/abs/hep-th/9403116v3

Phys.Rev. D49 (1994) 5377-5381

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, harvmac, no changes, 1 Postscript figure (now included)

Scientific paper

10.1103/PhysRevD.49.5377

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-L\"uscher results for the parity anomaly in (2+1) fermionic effective actions.

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