We look for three-dimensional vortex-solutions, which have finite energy and are stationary solutions, of Klein-Gordon-Maxwell-Proca type systems of equations. We prove the existence of three-dimensional cylindrically symmetric vortex-solutions having a least possible energy among all symmetric solutions. Moreover we show that, if the Proca mass disappears, then the solutions tend to a solution of the Klein-Gordon-Maxwell system.
Vortex ground states for Klein-Gordon-Maxwell-Proca type systems
D'AVENIA, Pietro;POMPONIO, Alessio
2017-01-01
Abstract
We look for three-dimensional vortex-solutions, which have finite energy and are stationary solutions, of Klein-Gordon-Maxwell-Proca type systems of equations. We prove the existence of three-dimensional cylindrically symmetric vortex-solutions having a least possible energy among all symmetric solutions. Moreover we show that, if the Proca mass disappears, then the solutions tend to a solution of the Klein-Gordon-Maxwell system.File in questo prodotto:
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