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Interactions of solitons in (2+1) dimensions

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

Abstract

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.

Keywords

Potential Term Extended Structure Skyrme Model Original Motion Euclidean Dimension 
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References

  1. 1.
    A.A. Belavin and A.M. Polyakov, JETP Lett, 22, 245 (1975)Google Scholar
  2. 2.
    G. Woo J. Math. Phys., 18, 1264 (1977)CrossRefGoogle Scholar
  3. 3.
    R.A. Leese, M. Peyrard and W.J. Zakrzewski — Nonlinearity, 3, 387 (1990)CrossRefGoogle Scholar
  4. 4.
    W.J. Zakrzewski — Soliton-like Scattering in the O(3) σ model in (2+1) Dimensions — Nonlinearity to appear (1990)Google Scholar
  5. 5.
    R.A. Leese, M. Peyrard and W.J. Zakrzewski Soliton Scatterings in Some Relativistic Models in (2+1) Dimensions — Nonlinearity, 3, 773 (1990), M. Peyrard, B. Piette and W.J. Zakrzewski — Soliton Scattering in the Skyrme Model in (2+1) Dimensions 1. and 2., Durham University preprints DTP-9037 and 39 (1990)CrossRefGoogle Scholar
  6. 6.
    R.A. Leese — Nucl. Phys. B, B334, 33, (1990)CrossRefGoogle Scholar
  7. 7.
    J.M. Izquierdo, B. Piette, M.S.S. Rashid and W.J. Zakrzewski — Models with Solitons in (2+1) Dimensions, Durham University preprint DTP-9121 (1991)Google Scholar
  8. 8.
    B. Piette and W.J. Zakrzewski — in preparationGoogle Scholar
  9. 9.
    B. Piette and W.J. Zakrzewski — Skyrmions and Their Scattering in (2+1) Dimensions, Durham preprint DTP-91/11, 1991Google Scholar

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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