Advertisement

Theoretical and Mathematical Physics

, Volume 156, Issue 1, pp 1028–1040 | Cite as

Scattering of vortices in the Abelian Higgs model

  • R. V. Palvelev
Article

Abstract

We study the scattering of vortices in the Abelian (2+1)-dimensional Higgs model. We show that in the case of the symmetric head-on collision of N vortices, their trajectories are rotated by the angle π/N after the collision.

Keywords

vortex equation Ginzburg-Landau equation adiabatic limit vortex scattering 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. G. Sergeev and S. V. Chechin, Theor. Math. Phys., 85, 1289–1299 (1990).CrossRefMathSciNetGoogle Scholar
  2. 2.
    T. M. Samols, Comm. Math. Phys., 145, 149–179 (1992).MATHCrossRefADSMathSciNetGoogle Scholar
  3. 3.
    P. J. Ruback, Nucl. Phys. B, 296, 669–678 (1988).CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    F. Abdelwahid and J. Burzlaff, J. Math. Phys., 35, 4651–4660 (1994).MATHCrossRefADSMathSciNetGoogle Scholar
  5. 5.
    A. Jaffe and C. Taubes, Vortices and Monopoles (Prog. Phys., Vol. 2), Birkhäuser, Boston (1980).MATHGoogle Scholar
  6. 6.
    D. Stuart, Comm. Math. Phys., 159, 51–91 (1994).MATHCrossRefADSMathSciNetGoogle Scholar
  7. 7.
    N. S. Manton, Phys. Lett. B, 110, 54–56 (1982).CrossRefADSMathSciNetGoogle Scholar
  8. 8.
    R. MacKenzie, Phys. Lett. B, 352, 96–98 (1995); arXiv:hep-th/9503044v2 (1995).CrossRefADSMathSciNetGoogle Scholar
  9. 9.
    K. Arthur and J. Burzlaff, Lett. Math. Phys., 36, 311–318 (1996); arXiv:hep-th/9503010v1 (1995).MATHCrossRefADSMathSciNetGoogle Scholar

Copyright information

© MAIK/Nauka 2008

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia

Personalised recommendations