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Hopf Textures

Sun Hong Rhie·David P. Bennett
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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 $S^2$. 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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Sun Hong Rhie, David P. Bennett. 1992-06-18. Hopf Textures. https://arxiv.org/abs/hep-ph/9206234

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