Hopf Textures

Details Hopf Textures Hopf Textures

1992-06-18

arxiv.org/abs/hep-ph/9206234v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 13 figures (not included, but available on request)

Scientific paper

A Hopf texture is a vacuum field configuration of isovector fields which is an onto map from the space as a large three sphere to the vacuum manifold $S^2$. We construct a Hopf texture with spherically symmetric energy density and discuss the topological charge. A Hopf texture collapses, and we study the collapse process numerically. In our simulations, it is clear that a Hopf texture does not decay into a pair of monopoles. We also argue that the probability of forming Hopf textures in random processes is very small compared to that of global monopoles.

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