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arXiv · 1405.4089

Topological Soliton with Nonzero Hopf Invariant in Yang-Mills-Higgs Model

Yan He·Hao Guo
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Abstract

We propose a topological soliton or instanton solution with nonzero Hopf invariant to the 3+1D non-Abelian gauge theory coupled with scalar fields. This solution, which we call Hopf soliton, represents a spacetime event that makes a $2π$ rotation of the monopole. Although the action of this Hopf soliton is logarithmically divergent, it may still give relevant contributions in a finite-sized system. Since the Chern-Simons term for the unbroken $U(1)$ gauge field may appear in the low energy effective theory, the Hopf soliton may possibly generate fractional statistics for the monopoles.

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Yan He, Hao Guo. 2014-05-16. Topological Soliton with Nonzero Hopf Invariant in Yang-Mills-Higgs Model. https://doi.org/10.1016/j.physletb.2014.10.039

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