pith. sign in

arxiv: hep-th/0012004 · v1 · pith:WO4FXRVGnew · submitted 2000-12-01 · ✦ hep-th

Pointlike Hopf defects in Abelian projections

classification ✦ hep-th
keywords abelianhopfdefectsprojectionsinstantonnon-trivialnumberpointlike
0
0 comments X
read the original abstract

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 accounts for the instanton number.

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.