Exact Scale Invariance of the BF-Yang-Mills Theory in Three Dimensions
classification
✦ hep-th
keywords
dimensionstheorybf-yang-millsanomalousanomaly-freebeta-functionscallan-symanzikcontains
read the original abstract
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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