Vortex ground states for Klein-Gordon-Maxwell-Proca type systems
Pietro d'Avenia, Jaros{\l}aw Mederski, Alessio Pomponio
TL;DR
This paper establishes the existence of finite-energy, cylindrically symmetric vortex solutions for Klein-Gordon-Maxwell-Proca systems, and analyzes their behavior as the Proca mass approaches zero, connecting to Klein-Gordon-Maxwell solutions.
Contribution
It proves the existence of three-dimensional vortex solutions with minimal energy in Klein-Gordon-Maxwell-Proca systems and examines their limiting behavior when the Proca mass vanishes.
Findings
Existence of cylindrically symmetric vortex solutions with minimal energy.
Solutions tend to Klein-Gordon-Maxwell solutions as Proca mass approaches zero.
Vortex solutions have finite energy and are stationary.
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 tends to a solution of the Klein-Gordon-Maxwell system.
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