English

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

High Energy Physics - Theory 2009-10-22 v1

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\beta function in the renormalization group equation.

Keywords

Cite

@article{arxiv.hep-th/9204045,
  title  = {Non-Renormalization Properties of the Chern-Simons Action Coupled to Matter},
  author = {Alberto Blasi and Nicola Maggiore and Silvio P. Sorella},
  journal= {arXiv preprint arXiv:hep-th/9204045},
  year   = {2009}
}

Comments

11 pages