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
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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 $\pi/2$.
@article{TMF_1990_85_3_a5,
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},
publisher = {mathdoc},
volume = {85},
number = {3},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1990_85_3_a5/}
}
TY - JOUR AU - A. G. Sergeev AU - S. V. Chechin TI - Scattering of~slowly moving vortices in~the Abelian $(2+1)$-dimensional Higgs model JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1990 SP - 397 EP - 411 VL - 85 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1990_85_3_a5/ LA - ru ID - TMF_1990_85_3_a5 ER -
%0 Journal Article %A A. G. Sergeev %A S. V. Chechin %T Scattering of~slowly moving vortices in~the Abelian $(2+1)$-dimensional Higgs model %J Teoretičeskaâ i matematičeskaâ fizika %D 1990 %P 397-411 %V 85 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1990_85_3_a5/ %G ru %F TMF_1990_85_3_a5
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/