Three dimensional vortices in Abelian Gauge Theories

Vieri Benci; Donato Fortunato

Three dimensional vortices in Abelian Gauge Theories

Analysis of PDEs 2007-11-22 v1 Mathematical Physics math.MP

Authors: Vieri Benci , Donato Fortunato

Abstract

In this paper we consider an Abelian Gauge Theory in R^4 equipped with the Minkowski metric. This theory leads to a system of equations, the Klein-Gordon-Maxwell equations, which provide models for the interaction between the electromagnetic field and matter. A three dimensional vortex is a finite energy solution of these equations in which the magnetic field looks like the field created by a finite solenoid. Under suitable assumptions, we prove the existence of vortex-solutions.

Keywords

vortex dynamics general relativity

Cite

@article{arxiv.0711.3351,
  title  = {Three dimensional vortices in Abelian Gauge Theories},
  author = {Vieri Benci and Donato Fortunato},
  journal= {arXiv preprint arXiv:0711.3351},
  year   = {2007}
}