×
Palvelev, R. V.

Scattering of vortices in the Abelian Higgs model. (English. Russian original) Zbl 1155.81370

Theor. Math. Phys. 156, No. 1, 1028-1040 (2008); translation from Teor. Mat. Fiz. 156, No. 1, 77-91 (2008).
Summary: 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.

Cited in 6 Documents

MSC:

81U05 \(2\)-body potential quantum scattering theory

Keywords:

vortex equation; Ginzburg-Landau equation; adiabatic limit; vortex scattering
Cite Review PDF
Full Text: DOI Euclid

References:

[1] A. G. Sergeev and S. V. Chechin, Theor. Math. Phys., 85, 1289–1299 (1990). · doi:10.1007/BF01018406
[2] T. M. Samols, Comm. Math. Phys., 145, 149–179 (1992). · Zbl 0768.53041 · doi:10.1007/BF02099284
[3] P. J. Ruback, Nucl. Phys. B, 296, 669–678 (1988). · doi:10.1016/0550-3213(88)90038-7
[4] F. Abdelwahid and J. Burzlaff, J. Math. Phys., 35, 4651–4660 (1994). · Zbl 0818.35111 · doi:10.1063/1.530806
[5] A. Jaffe and C. Taubes, Vortices and Monopoles (Prog. Phys., Vol. 2), Birkhäuser, Boston (1980). · Zbl 0457.53034
[6] D. Stuart, Comm. Math. Phys., 159, 51–91 (1994). · Zbl 0807.35141 · doi:10.1007/BF02100485
[7] N. S. Manton, Phys. Lett. B, 110, 54–56 (1982). · Zbl 1190.81087 · doi:10.1016/0370-2693(82)90950-9
[8] R. MacKenzie, Phys. Lett. B, 352, 96–98 (1995); arXiv:hep-th/9503044v2 (1995). · doi:10.1016/0370-2693(95)00470-6
[9] K. Arthur and J. Burzlaff, Lett. Math. Phys., 36, 311–318 (1996); arXiv:hep-th/9503010v1 (1995). · Zbl 0845.35095 · doi:10.1007/BF00943283
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.