Geodesic
Scattering of vortices in the Abelian Higgs model
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 1, pp. 77-91 Cet article a éte moissonné depuis la source Math-Net.Ru

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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},
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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/

[1] A. G. Sergeev, S. V. Chechin, TMF, 85:3 (1990), 397–411 | DOI | MR

[2] T. M. Samols, Comm. Math. Phys., 145:1 (1992), 149–179 | DOI | MR | Zbl

[3] P. J. Ruback, Nucl. Phys. B, 296:3 (1988), 669–678 | DOI | MR

[4] F. Abdelwahid, J. Burzlaff, J. Math. Phys., 35:9 (1994), 4651–4660 | DOI | MR | Zbl

[5] A. Jaffe, C. Taubes, Vortices and Monopoles, Prog. Phys., 2, Birkhäuser, Boston, 1980 | MR | Zbl

[6] D. Stuart, Comm. Math. Phys., 159:1 (1994), 51–91 | DOI | MR | Zbl

[7] N. S. Manton, Phys. Lett. B, 110:1 (1982), 54–56 | DOI | MR | Zbl

[8] R. MacKenzie, Phys. Lett. B, 352 (1995), 96–98 ; arXiv: hep-th/9503044 | DOI

[9] K. Arthur, J. Burzlaff, Lett. Math. Phys., 36:3 (1996), 311–318 ; arXiv: hep-th/9503010 | DOI | MR | Zbl