Interactions of solitons in (2+1) dimensions

  • Bernard Piette
  • Wojciech J. Zakrzewski
Part IV: Two-Dimensional Structures
Part of the Lecture Notes in Physics book series (LNP, volume 393)


We consider instapton solutions of the CPN models in two Euclidean dimensions as solitons of the same models in (2+1) dimensions. We find that, in general, the solitons tend to shrink so to stabilise them we add special potential and skyrme-like terms. We show that in head-on collisions the solitons scatter at 90° to the direction of their original motion and that they also undergo a shift along their trajectories.


Potential Term Extended Structure Skyrme Model Original Motion Euclidean Dimension 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Bernard Piette
    • 1
  • Wojciech J. Zakrzewski
    • 1
  1. 1.Department of Mathematical SciencesUniversity of DurhamDurhamEngland

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