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An algebraic proof on the finiteness of Yang-Mills-Chern-Simons theory in D=3

O. M. Del Cima·D. H. T. Franco·J. A. Helayel-Neto·O. Piguet
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Abstract

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 beta-functions associated to the topological mass and gauge coupling constant as well as the anomalous dimensions of the fields.

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O. M. Del Cima, D. H. T. Franco, J. A. Helayel-Neto, O. Piguet. 1999-04-27. An algebraic proof on the finiteness of Yang-Mills-Chern-Simons theory in D=3. https://doi.org/10.1023/a%3A1007595121742

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