A. G. Sergeev, S. V. Chechin, “Scattering of slowly moving vortices in the Abelian $(2+1)$-dimensional Higgs model”, TMF, 85:3 (1990), 397–411; Theoret. and Math. Phys., 85:3 (1990), 1289

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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 85, Number 3, Pages 397–411 (Mi tmf5958)

This article is cited in 11 scientific papers (total in 11 papers)

Scattering of slowly moving vortices in the Abelian

$(2+1)$ -dimensional Higgs model

A. G. Sergeev, S. V. Chechin

Full-text PDF (1268 kB) Citations (11)

References:

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Abstract: 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

$\pi/2$ .

Received: 19.04.1990

English version:
Theoretical and Mathematical Physics, 1990, Volume 85, Issue 3, Pages 1289–1299
DOI: https://doi.org/10.1007/BF01018406

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. G. Sergeev, S. V. Chechin, “Scattering of slowly moving vortices in the Abelian

$(2+1)$ -dimensional Higgs model”, TMF, 85:3 (1990), 397–411; Theoret. and Math. Phys., 85:3 (1990), 1289–1299

Citation in format AMSBIB

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\by A.~G.~Sergeev, S.~V.~Chechin

\paper Scattering of~slowly moving vortices in~the Abelian $(2+1)$-dimensional Higgs model

\jour TMF

\yr 1990

\vol 85

\issue 3

\pages 397--411

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1099135}

\transl

\jour Theoret. and Math. Phys.

\yr 1990

\vol 85

\issue 3

\pages 1289--1299

\crossref{https://doi.org/10.1007/BF01018406}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990FV76600006}

Linking options:

https://www.mathnet.ru/eng/tmf5958

https://www.mathnet.ru/eng/tmf/v85/i3/p397

This publication is cited in the following 11 articles:

Armen Sergeev, “SCATTERING OF GINZBURG–LANDAU VORTICES”, J Math Sci, 266:3 (2022), 476
Sergeev A., “Adiabatic Limit in Ginzburg-Landau and Seiberg-Witten Equations”, Geometric Methods in Physics, Trends in Mathematics, ed. Kielanowski P. Ali S. Bieliavsky P. Odzijewicz A. Schlichenmaier M. Voronov T., Springer Int Publishing Ag, 2016, 321–330
Tatiana A. Ivanova, “Scattering of instantons, monopoles and vortices in higher dimensions”, Int. J. Geom. Methods Mod. Phys., 13:03 (2016), 1650032
A. G. Sergeev, “Adiabatic limit in the Ginzburg–Landau and Seiberg–Witten equations”, Proc. Steklov Inst. Math., 289 (2015), 227–285
R. V. Palvelev, “Rasseyanie vikhrei v abelevykh modelyakh Khiggsa na kompaktnykh rimanovykh poverkhnostyakh”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:2 (2015), 293–310
A. G. Sergeev, “On two geometric problems arising in mathematical physics”, J. Math. Sci., 223:6 (2017), 756–762
R. V. Palvelev, “Justification of the adiabatic principle in the Abelian Higgs model”, Trans. Moscow Math. Soc., 72 (2011), 219–244
R. V. Pal'velev, “Scattering of vortices in the Abelian Higgs model”, Theoret. and Math. Phys., 156:1 (2008), 1028–1040
A. G. Sergeev, “Adiabatic Limit for Some Nonlinear Equations of Gauge Field Theory”, Journal of Mathematical Sciences, 124:6 (2004), 5407–5416
G. M. Zinovjev, S. V. Molodtsov, A. M. Snigirev, “Quark interaction with an instanton liquid”, Phys. Atom. Nuclei, 65:5 (2002), 929
A. G. Sergeev, “Seiberg–Witten Equations and Complex Abrikosov Strings”, Proc. Steklov Inst. Math., 235 (2001), 215–250

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	78
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