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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 1, Pages 77–91
DOI: https://doi.org/10.4213/tmf6231 (Mi tmf6231) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Scattering of vortices in the Abelian Higgs model

R. V. Pal'velev

M. V. Lomonosov Moscow State University
Full-text PDF (480 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf6231
Abstract: 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 π/N after the collision.
Keywords: vortex equation, Ginzburg–Landau equation, adiabatic limit, vortex scattering.
Received: 25.12.2006
Revised: 03.05.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 1, Pages 1028–1040
DOI: https://doi.org/10.1007/s11232-008-0096-6
Bibliographic databases:
Language: Russian
Citation: R. V. Pal'velev, “Scattering of vortices in the Abelian Higgs model”, TMF, 156:1 (2008), 77–91; Theoret. and Math. Phys., 156:1 (2008), 1028–1040
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6231
  • https://doi.org/10.4213/tmf6231
  • https://www.mathnet.ru/eng/tmf/v156/i1/p77
    • This publication is cited in the following 8 articles:
    1. Armen Sergeev, “SCATTERING OF GINZBURG–LANDAU VORTICES”, J Math Sci, 266:3 (2022), 476  crossref
    2. Sergeev A., “Adiabatic Limit in Ginzburg-Landau and Seiberg-Witten Equations”, Geometric Methods in Physics, Trends in Mathematics, eds. Kielanowski P., Ali S., Bieliavsky P., Odzijewicz A., Schlichenmaier M., Voronov T., Springer Int Publishing Ag, 2016, 321–330  crossref  mathscinet  zmath  isi
    3. A. G. Sergeev, “Adiabatic limit in the Ginzburg–Landau and Seiberg–Witten equations”, Proc. Steklov Inst. Math., 289 (2015), 227–285  mathnet  crossref  crossref  isi  elib
    4. 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  mathnet  crossref  zmath  elib
    5. A. G. Sergeev, “On two geometric problems arising in mathematical physics”, J. Math. Sci., 223:6 (2017), 756–762  mathnet  crossref  mathscinet  elib
    6. Vakhid A. Gani, Vadim Lensky, Mariya A. Lizunova, “Kink excitation spectra in the (1+1)-dimensional φ8 model”, J. High Energ. Phys., 2015:8 (2015)  crossref
    7. Gani V.A., Kudryavtsev A.E., Lizunova M.A., “Kink Interactions in the (1+1)-Dimensional Phi(6) Model”, Phys. Rev. D, 89:12 (2014), 125009  crossref  adsnasa  isi  scopus  scopus
    8. R. V. Palvelev, “Justification of the adiabatic principle in the Abelian Higgs model”, Trans. Moscow Math. Soc., 72 (2011), 219–244  mathnet  crossref  zmath  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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