1210.2669 (Magdalena Czubak et al.)

Topological defects in the abelian Higgs model    [PDF]

Magdalena Czubak, Robert L. Jerrard

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.

View original: http://arxiv.org/abs/1210.2669