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Trudy Moskovskogo Matematicheskogo Obshchestva
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Trudy Moskovskogo Matematicheskogo Obshchestva, 2011, Volume 72, Issue 2, Pages 281–314 (Mi mmo19)  
This article is cited in 10 scientific papers (total in 10 papers)

Justification of the adiabatic principle in the Abelian Higgs model

R. V. Palvelev

Steklov Mathematical Institute of the Russian Academy of Sciences
Full-text PDF (334 kB) Citations (10)
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Abstract: A justification of the adiabatic principle for the $(2+1)$-dimensional Abelian Higgs model is given. It is shown that near any geodesic on the space of static solutions there exists a solution of the dynamical Euler-Lagrange equations.
Key words and phrases: Abelian Higgs model of field theory, Manton approximation, adiabatic limit, scattering of vortices.
Received: 11.04.2011
English version:
Transactions of the Moscow Mathematical Society, 2011, Volume 72, Pages 219–244
DOI: https://doi.org/10.1090/S0077-1554-2012-00189-7
Bibliographic databases:
Document Type: Article
UDC: 517.956.35+517.958
MSC: 35Q60, 81T40, 53P99
Language: Russian
Citation: R. V. Palvelev, “Justification of the adiabatic principle in the Abelian Higgs model”, Tr. Mosk. Mat. Obs., 72, no. 2, MCCME, Moscow, 2011, 281–314; Trans. Moscow Math. Soc., 72 (2011), 219–244
Citation in format AMSBIB
\Bibitem{Pal11}
\by R.~V.~Palvelev
\paper Justification of the adiabatic principle in the Abelian Higgs model
\serial Tr. Mosk. Mat. Obs.
\yr 2011
\vol 72
\issue 2
\pages 281--314
\publ MCCME
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/mmo19}
\zmath{https://zbmath.org/?q=an:06026279}
\elib{https://elibrary.ru/item.asp?id=21369345}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2011
\vol 72
\pages 219--244
\crossref{https://doi.org/10.1090/S0077-1554-2012-00189-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904047441}
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  • https://www.mathnet.ru/eng/mmo/v72/i2/p281
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Moskovskogo Matematicheskogo Obshchestva
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    References:71
     
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