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arXiv · hep-th/9204045

Non-Renormalization Properties of the Chern-Simons Action Coupled to Matter

Alberto Blasi·Nicola Maggiore·Silvio P. Sorella
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Abstract

We analyze an abelian gauge model in 3 dimensions which includes massless scalar matter fields. By controlling the trace anomalies with a local dilatation Ward identity, we show that, in perturbation theory and within the BPHZL scheme, the Chern-Simons term has no radiative corrections. This implies, in particular, the vanishing of the corresponding $β$ function in the renormalization group equation.

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Alberto Blasi, Nicola Maggiore, Silvio P. Sorella. 1992-04-15. Non-Renormalization Properties of the Chern-Simons Action Coupled to Matter. https://doi.org/10.1016/0370-2693(92)91299-o

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