Renormalization Ambiguities in Chern-Simons Theory

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 $k\to k+2s{c}_v$ 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.

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

References in corpus (1)

• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory

Cited by in corpus (10)

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• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Differential Regularization of Chern-Simons-Maxwell Spinor and Scalar Electrodynamics
• Differential Regularization of Topologically Massive Yang-Mills Theory and Chern-Simons Theory
• Two-loop renormalisation of gauge theories in $4D$ Implicit Regularisation and connections to dimensional methods
• Regularization Ambiguity Problem for the Chern-Simons Shift