English

Hopf Textures

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

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 S2S^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.

Keywords

Cite

@article{arxiv.hep-ph/9206234,
  title  = {Hopf Textures},
  author = {Sun Hong Rhie and David P. Bennett},
  journal= {arXiv preprint arXiv:hep-ph/9206234},
  year   = {2007}
}

Comments

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