On the Non-Renormalization Properties of Gauge Theories with Chern-Simons Terms

Content Provider	Semantic Scholar
Author	Cima, Oswaldo M. Del Franco, Daniel H. T. Helaÿel-Neto, José A. Piguet, Olivier
Copyright Year	1997
Abstract	Considering three-dimensional Chern-Simons theory, either coupled to matter or with a Yang-Mills term, we show the validity of a trace identity, playing the role of a local form of the Callan-Symanzik equation, in all orders of perturbation theory. From this we deduce the vanishing of the β-function associated to the Chern-Simons coupling constant and the full finiteness in the case of the Yang-Mills Chern-Simons theory. The main ingredient in the proof of the latter property is the noninvariance of the Chern-Simons form under the gauge transformations. Our results hold for the three-dimensional Chern-Simons model in a general Riemannian manifold.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/hep-th/9711191v2.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/hep-th/9711191v3.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/hep-th/9711191v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Coupling constant Ising model Keneth Alden Simons Perturbation theory YANG cell transformation manifold
Content Type	Text
Resource Type	Article