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

Loading [MathJax]/jax/output/SVG/config.js

Trudy Moskovskogo Matematicheskogo Obshchestva

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Journal history

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

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)

References:

PDF

HTML

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}

Linking options:

https://www.mathnet.ru/eng/mmo19

https://www.mathnet.ru/eng/mmo/v72/i2/p281

This publication is cited in the following 10 articles:

Armen Sergeev, “Ginzburg–Landau equations and their generalizations”, Indag. Math., New Ser., 34:2 (2023), 294–305
Armen Sergeev, “SCATTERING OF GINZBURG–LANDAU VORTICES”, J Math Sci, 266:3 (2022), 476
A. G. Sergeev, “Adiabatic limit in Ginzburg–Landau and Seiberg–Witten equations”, Theoret. and Math. Phys., 203:1 (2020), 561–568
A. Sergeev, “Seiberg-Witten theory as a complex version of Abelian Higgs model”, Sci. China-Math., 60:6, SI (2017), 1089–1100
A. Sergeev, “Adiabatic limit in Abelian Higgs model with application to Seiberg-Witten equations”, Phys. Part. Nuclei Lett., 14:2 (2017), 341–346
A. Sergeev, “Adiabatic limit in Ginzburg-Landau and Seiberg-Witten equations”, Geometric Methods in Physics, Trends in Mathematics, eds. P. Kielanowski, S. Ali, P. Bieliavsky, A. Odzijewicz, M. Schlichenmaier, T. Voronov, Springer Int Publishing Ag, 2016, 321–330
A. G. Sergeev, “Adiabatic limit in the Ginzburg–Landau and Seiberg–Witten equations”, Proc. Steklov Inst. Math., 289 (2015), 227–285
A. G. Sergeev, “On two geometric problems arising in mathematical physics”, J. Math. Sci., 223:6 (2017), 756–762
A. G. Sergeev, “Adiabatic limit for hyperbolic Ginzburg–Landau equations”, Journal of Mathematical Sciences, 202:6 (2014), 887–896
R. V. Palvelev, A. G. Sergeev, “Justification of the adiabatic principle for hyperbolic Ginzburg–Landau equations”, Proc. Steklov Inst. Math., 277 (2012), 191–205

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

Trudy Moskovskogo Matematicheskogo Obshchestva

Statistics & downloads:
Abstract page:	394
Full-text PDF :	127
References:	71

Registration to the website

Logotypes