Nota de FísicaPublicado
On the Non-Renormalization Properties of Gauge Theories with Chern-Simons Terms
O. M. D. Cima; D.H.T. Franco; José Abdalla Helayel Neto; Olivier Piguet
1997
Dados da publicação
- Autores
- O. M. D. Cima; D.H.T. Franco; José Abdalla Helayel Neto; Olivier Piguet
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 1997
- Descrição
- 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 <math>\beta</math>-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.
- Ano
- 1997
- Número
- CBPF-NF-052/97
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não