Existence Theorems for $\fracπ{n}$ Vortex Scattering

Details Existence Theorems for $\fracπ{n}$ Vortex Scattering Existence Theorems for $\fracπ{n}$ Vortex Scattering

1995-03-02

arxiv.org/abs/hep-th/9503010v1

Lett. Math. Phys. 36 (1996) 311

Physics

High Energy Physics

High Energy Physics - Theory

8 pages. latex

Scientific paper

10.1007/BF00943283

The analysis of $90^{\circ}$ vortex-vortex scattering is extended to $\frac{\pi}{n}$ 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 $\frac{\pi}{n}$ scattering is realised.

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