On the nonrenormalization properties of gauge theories with Chern-Simons terms
Nov, 1997
23 pages
Published in:
- JHEP 02 (1998) 002
e-Print:
- hep-th/9711191 [hep-th]
Report number:
- CBPF-NF-052-97,
- UFES-DF-OP97-2,
- CBPF-NF-052-97----UFES--DF--OP97-2
Citations per year
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 -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.Note:
- 24 pages, Latex. Small changes in the introduction, concerning the citations; two references added, one updated. Some misprints corrected
- space-time
- gauge field theory: Yang-Mills
- Chern-Simons term
- perturbation theory: higher-order
- renormalization group: beta function
- Slavnov identity
- Ward identity
- invariance: conformal
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