Scattering of vortices in the~Abelian Higgs model
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 1, pp. 77-91

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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 $\pi/N$ after the collision.
Mots-clés : vortex equation, adiabatic limit
Keywords: Ginzburg–Landau equation, vortex scattering.
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     author = {R. V. Pal'velev},
     title = {Scattering of vortices in {the~Abelian} {Higgs} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {77--91},
     publisher = {mathdoc},
     volume = {156},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a3/}
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R. V. Pal'velev. Scattering of vortices in the~Abelian Higgs model. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 1, pp. 77-91. http://geodesic.mathdoc.fr/item/TMF_2008_156_1_a3/