Theoretical and Mathematical Physics

, Volume 160, Issue 1, pp 945–951

Discrete baby and three-dimensional skyrmions

Article
  • 58 Downloads

Abstract

We present a lattice version of the Skyrme model in 2+1 and 3+1 dimensions based on previously obtained results. The discrete skyrmions have a high degree of stability, similar to their continuum counterparts.

Keywords

lattice skyrmion stability 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. B. Bogomol’nyi, Sov. J. Nucl. Phys., 24, 449–454 (1976).MathSciNetGoogle Scholar
  2. 2.
    M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM Stud. Appl. Math., Vol. 4), SIAM, Philadelphia (1981).MATHGoogle Scholar
  3. 3.
    R. A. Leese, Phys. Rev. D, 40, 2004–2013 (1989).CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    J. M. Speight and R. S. Ward, Nonlinearity, 7, 475–484 (1994); Nonlinearity, 10, 1615–1625 (1997); 12, 1373–1387 (1999).MATHCrossRefADSMathSciNetGoogle Scholar
  5. 5.
    T. Ioannidou, Nonlinearity, 10, 1357–1367 (1997).MATHCrossRefADSMathSciNetGoogle Scholar
  6. 6.
    W. J. Zakrzewski, Low Dimensional Sigma Models, Adam Hilger, Bristol (1989).MATHGoogle Scholar
  7. 7.
    T. Ioannidou and P. Kevrekidis, Phys. Lett. A, 372, 6735–6741 (2008); arXiv:0807.0538v2 [nlin.SI] (2008).CrossRefADSMathSciNetGoogle Scholar
  8. 8.
    T. Ioannidou, B. Piette, and W. J. Zakrzewski, J. Math. Phys., 40, 6223–6233, 6353–6365 (1999).MATHCrossRefADSMathSciNetGoogle Scholar
  9. 9.
    M. Peyrard, B. Piette, and W. J. Zakrzewski, Nonlinearity, 5, 563–583 (1992); B. Piette, B. J. Schroers, and W. J. Zakrzewski, Nucl. Phys. B, 439, 205–235 (1995); R. A. Battye and P. M. Sutcliffe, Phys. Lett. B, 391, 150–156 (1997).MATHCrossRefADSMathSciNetGoogle Scholar

Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.TATEberhard Karls Universitat TübingenTübingenGermany
  2. 2.School of Mathematics, Physics, and Computational Sciences, Faculty of EngineeringAristotle University of ThessalonikiThessalonikiGreece
  3. 3.Department of Mathematics and StatisticsUniversity of MassachusettsAmherstUSA

Personalised recommendations