Three dimensional vortices in Abelian Gauge Theories

Details Three dimensional vortices in Abelian Gauge Theories Three dimensional vortices in Abelian Gauge Theories

2007-11-21

arxiv.org/abs/0711.3351v1

Mathematics

Analysis of PDEs

31 pagine

Scientific paper

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.

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