Geodesic
Justification of the adiabatic principle in the Abelian Higgs model
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 72 (2011) no. 2, pp. 281-314.

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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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R. V. Palvelev. Justification of the adiabatic principle in the Abelian Higgs model. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 72 (2011) no. 2, pp. 281-314. http://geodesic.mathdoc.fr/item/MMO_2011_72_2_a4/

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