Physics NotePublished
An Algebraic Proof on the Finiteness of Yang-Mills-Chern-Simons Theory in D = 3
O. M. D. Cima; D.H.T. Franco; José Abdalla Helayel Neto; Olivier Piguet
1998
Publication details
- Authors
- O. M. D. Cima; D.H.T. Franco; José Abdalla Helayel Neto; Olivier Piguet
- Type
- Physics Note
- Status
- Published
- Publication date
- 1998
- Description
- A rigorous algebraic proof of the full finiteness in all orders of perturbation theory is given for the Yang-Mills-Chern-Simons theory in a general three-dimensional Riemannian manifold. We show the validity of a trace identity, playing the role of a local form of the Callan-Symanzik equation, in all loop orders, which yields the vanishing of the <math>\beta\,\!</math> –functions associated to the topological mass and gauge coupling constant as well as the anomalous dimensions of the fields.
- Year
- 1998
- Number
- CBPF-NF-021/98
- Linked to a thesis
- No
- Linked to a grant
- No