0 v 1 2 M ar 1 99 5 Existence Theorems for π n Vortex Scattering

نویسندگان

  • K. Arthur
  • J. Burzlaff
چکیده

The analysis of 90 • vortex-vortex scattering is extended to π n scattering in all head-on collisions of n vortices in the Abelian Higgs model. A Cauchy problem with initial data that describe the scattering of n vortices is formulated. It is shown that this Cauchy problem has a unique global finite-energy solution. The symmetry of the solution and the form of the local analytic solution then show that π n scattering is realised.

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تاریخ انتشار 1995