Topological defects in the abelian Higgs model
Analysis of PDEs
2012-10-10 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1210.2669,
title = {Topological defects in the abelian Higgs model},
author = {Magdalena Czubak and Robert L. Jerrard},
journal= {arXiv preprint arXiv:1210.2669},
year = {2012}
}
Comments
36 pages