On Explicit Point Multi-Monopoles in SU(2) Gauge Theory
High Energy Physics - Theory
2009-11-10 v1
Abstract
It is well known that the Dirac monopole solution with the U(1) gauge group embedded into the group SU(2) is equivalent to the SU(2) Wu-Yang point monopole solution having no Dirac string singularity. We consider a multi-center configuration of m Dirac monopoles and n anti-monopoles and its embedding into SU(2) gauge theory. Using geometric methods, we construct an explicit solution of the SU(2) Yang-Mills equations which generalizes the Wu-Yang solution to the case of m monopoles and n anti-monopoles located at arbitrary points in R^3.
Cite
@article{arxiv.hep-th/0412042,
title = {On Explicit Point Multi-Monopoles in SU(2) Gauge Theory},
author = {Alexander D. Popov},
journal= {arXiv preprint arXiv:hep-th/0412042},
year = {2009}
}
Comments
1+7 pages, LaTeX