Dreibein as prepotential for three-dimensional Yang-Mills theory
High Energy Physics - Theory
2017-09-08 v3
Abstract
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.
Cite
@article{arxiv.1307.0989,
title = {Dreibein as prepotential for three-dimensional Yang-Mills theory},
author = {Indrajit Mitra and H. S. Sharatchandra},
journal= {arXiv preprint arXiv:1307.0989},
year = {2017}
}
Comments
13 pages, improved version, section on Jacobian removed