Nonrenormalization properties of the Chern-Simons action coupled to matter

1992/04/15 by Alberto Blasi, Nicola Maggiore, Sandro Sorella +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/0370-2693(92)91299-o

published as Phys.Lett. B285 (1992) 54-60 · 11 pages

arxiv created 1992/04/15 · openalex publication_date 1992/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• On the N = 2 supersymmetric σ model and Chern-Simons terms
• Differential regularization of Chern-Simons-Maxwell spinor and scalar electrodynamics
• Renormalization of quantum gravity coupled with matter in three dimensions
• Finiteness of quantum gravity coupled with matter in three spacetime dimensions