Justification of the adiabatic principle in the Abelian Higgs model

Pal’velev, R.

doi:10.1090/S0077-1554-2012-00189-7

Justification of the adiabatic principle in the Abelian Higgs model
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by R. V. Pal’velev
Translated by: E. Khukhro

Trans. Moscow Math. Soc. 2011, 219-244

DOI: https://doi.org/10.1090/S0077-1554-2012-00189-7

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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