Instantons and Monopoles in General Abelian Gauges
High Energy Physics - Theory
2008-11-26 v2
Abstract
A relation between the total instanton number and the quantum-numbers of magnetic monopoles that arise in general Abelian gauges in SU(2) Yang-Mills theory is established. The instanton number is expressed as the sum of the `twists' of all monopoles, where the twist is related to a generalized Hopf invariant. The origin of a stronger relation between instantons and monopoles in the Polyakov gauge is discussed.
Keywords
Cite
@article{arxiv.hep-th/9909004,
title = {Instantons and Monopoles in General Abelian Gauges},
author = {Oliver Jahn},
journal= {arXiv preprint arXiv:hep-th/9909004},
year = {2008}
}
Comments
28 pages, 8 figures; comments added to put work into proper context