Topological defects in the abelian Higgs model
  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. 
Magdalena Czubak and Robert L. Jerrard
math.AP math-ph math.MP