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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
Posted:
January 12, 2012
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Additional Information
Abstract: A justification of the adiabatic principle for the  -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.
References
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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
Posted:
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
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