Hopf defects as seeds for monopole loops
High Energy Physics - Theory
2009-10-31 v2 High Energy Physics - Lattice
Abstract
We investigate the relation between instantons and monopoles in the Laplacian Abelian Gauge using analytical methods in the continuum. Our starting point is the fact that the 't Hooft instanton with its high symmetry leads to a pointlike defect with Hopf invariant one. In order to generalise this result we partly break the symmetry by a local perturbation. We find that for generic configurations near the 't Hooft instanton the defects become loops. The analytical results show explicitly that these defects are magnetic monopoles with unit charge. In addition, the monopoles are twisted to account for the instanton number of the background.
Cite
@article{arxiv.hep-th/0011249,
title = {Hopf defects as seeds for monopole loops},
author = {Falk Bruckmann},
journal= {arXiv preprint arXiv:hep-th/0011249},
year = {2009}
}
Comments
latex, 6 pages, 2 figures; v2: references added, emphasis modified, conclusions unchanged