72 research outputs found
Dreibein as prepotential for three-dimensional Yang-Mills theory
We advocate and develop the use of the dreibein (and the metric) as
prepotential for three-dimensional SO(3) Yang-Mills theory. Since the dreibein
transforms homogeneously under gauge transformation, the metric is gauge
invariant. For a generic gauge potential, there is a unique dreibein on fixing
the boundary condition. Topologically non-trivial monopole configurations are
given by conformally flat metrics, with scalar fields capturing the monopole
centres. Our approach also provides an ansatz for the gauge potential covering
the topological aspects.Comment: 13 pages, improved version, section on Jacobian remove
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