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

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

1999-04-27

arxiv.org/abs/math-ph/9904030v1

Lett.Math.Phys.47:265,1999

Physics

Mathematical Physics

5 pages, revtex

Scientific paper

10.1023/A:1007595121742

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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