In this paper we consider an Abelian Gauge Theory in R4 equipped with the Minkowski metric. This theory leads to a system of equations, the KleinGordonMaxwell 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.
Three-dimensional vortices in Abelian gauge theories
FORTUNATO, Donato
2009-01-01
Abstract
In this paper we consider an Abelian Gauge Theory in R4 equipped with the Minkowski metric. This theory leads to a system of equations, the KleinGordonMaxwell 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.File in questo prodotto:
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