Pointlike Hopf Defects in Abelian Projections

  title={Pointlike Hopf Defects in Abelian Projections},
  author={Falk Bruckmann},
  journal={arXiv: High Energy Physics - Theory},
  • F. Bruckmann
  • Published 1 December 2000
  • Mathematics
  • arXiv: High Energy Physics - Theory
We present a new kind of defect in Abelian Projections, stemming from pointlike zeros of second order. The corresponding topological quantity is the Hopf invariant pi_3(S^2) (rather than the winding number pi_2(S^2) for magnetic monopoles). We give a visualisation of this quantity and discuss the simplest non-trivial example, the Hopf map. Such defects occur in the Laplacian Abelian gauge in a non-trivial instanton sector. For general Abelian projections we show how an ensemble of Hopf defects… 

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