Geodesic
Scattering of slowly moving vortices in the Abelian $(2+1)$-dimensional Higgs model
Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 3, pp. 397-411 
A. G. Sergeev; S. V. Chechin. Scattering of slowly moving vortices in the Abelian $(2+1)$-dimensional Higgs model. Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 3, pp. 397-411. http://geodesic.mathdoc.fr/item/TMF_1990_85_3_a5/
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     author = {A. G. Sergeev and S. V. Chechin},
     title = {Scattering of~slowly moving vortices in~the {Abelian} $(2+1)$-dimensional {Higgs} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {397--411},
     year = {1990},
     volume = {85},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_85_3_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of the scattering of vortices in the Abelian $(2+1)$-dimensional Higgs model is studied. Equations for the geodesics describing the motion of a system of two vortices are found in Manton's approach. It is shown that in the case of a head-on collision the vortices are scattered through $\pi/2$.

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