Exact Scale Invariance of the BF-Yang-Mills Theory in Three Dimensions

Details Exact Scale Invariance of the BF-Yang-Mills Theory in Three Dimensions Exact Scale Invariance of the BF-Yang-Mills Theory in Three Dimensions

1998-03-30

arxiv.org/abs/hep-th/9803247v1

JHEP 9804:010,1998

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex

Scientific paper

The ``extended'' BF-Yang-Mills theory in 3 dimensions, which contains a
minimally coupled scalar field, is shown to be ultraviolet finite. It obeys a
trivial Callan-Symanzik equation, with all beta-functions and anomalous
dimensions vanishing. The proof is based on an anomaly-free trace identity
valid to all orders of perturbation theory.

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