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

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

1992-04-15

arxiv.org/abs/hep-th/9204045v1

Phys.Lett. B285 (1992) 54-60

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/0370-2693(92)91299-O

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 $\beta$ function in the renormalization group equation.

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