Topological defects in the abelian Higgs model

2012/10/09 by Magdalena Czubak, Czubak, Magdalena, Robert L. Jerrard +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1210.2669

36 pages

arxiv created 2012/10/09 · arxiv updated 2012/10/10

Abstract

We give a rigorous description of the dynamics of the Nielsen-Olesen vortex line. In particular, given a worldsheet of a string, we construct initial data such that the corresponding solution of the abelian Higgs model will concentrate near the evolution of the string. Moreover, the constructed solution stays close to the Nielsen-Olesen vortex solution.

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