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Transactions of the Moscow Mathematical Society
Transactions of the Moscow Mathematical Society
ISSN 1547-738X(online) ISSN 0077-1554(print)

 

Justification of the adiabatic principle in the Abelian Higgs model


Author: R. V. Pal’velev
Translated by: E. Khukhro
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 72 (2011), vypusk 2.
Journal: Trans. Moscow Math. Soc. 2011, 219-244
MSC (2010): Primary 35Q60; Secondary 53Z05, 58E15, 81T13, 81T40
Published electronically: January 12, 2012
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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.


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Additional Information

R. V. Pal’velev
Affiliation: Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Email: palvelev@front.ru

DOI: http://dx.doi.org/10.1090/S0077-1554-2012-00189-7
PII: S 0077-1554(2012)00189-7
Keywords: Abelian Higgs model of field theory, Manton approximation, adiabatic limit, scattering of vortices
Published electronically: January 12, 2012
Additional Notes: This research was partially supported by the Russian Foundation for Basic Research (grant no. 10-01-00178-a) and the Programme for Support of Leading Scientific Schools (grant no. NSh-7675.2010.1).
Article copyright: © Copyright 2012 American Mathematical Society