pith. sign in

arxiv: hep-th/0011249 · v2 · submitted 2000-11-28 · ✦ hep-th · hep-lat

Hopf defects as seeds for monopole loops

classification ✦ hep-th hep-lat
keywords defectsinstantonmonopolesanalyticalhoofthopfloopssymmetry
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Dyon Loops and Abelian Instantons

    hep-th 2025-06 unverdicted novelty 7.0

    Abelian instantons generated by dyon loops carry full instanton charge in the Georgi-Glashow model and form a continuous deformation of small BPST instantons.