Hopf defects as seeds for monopole loops

Details Hopf defects as seeds for monopole loops Hopf defects as seeds for monopole loops

2000-11-28

arxiv.org/abs/hep-th/0011249v2

JHEP 0108 (2001) 030

Physics

High Energy Physics

High Energy Physics - Theory

latex, 6 pages, 2 figures; v2: references added, emphasis modified, conclusions unchanged

Scientific paper

10.1088/1126-6708/2001/08/030

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.

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