Communications in Mathematical Physics

, Volume 90, Issue 2, pp 175–186 | Cite as

Hedgehogs in a three-dimensional anisotropic spin system

  • Thordur Jonsson


We study a continuum version of a classical anisotropic spin model in three dimensions with three component spins. We prove the existence of topological defects, called hedgehogs, which are analogous to the vortices in the two-dimensionalxy-model and have a logarithmically divergent action. Bounds for the interaction energy of a hedgehog and an antihedgehog are derived.


Vortex Neural Network Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Thordur Jonsson
    • 1
  1. 1.NorditaCopenhagen øDenmark

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