Vortex dynamics in self-dual Maxwell-Higgs systems with a uniform background electric charge density

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Abstract
We introduce self-dual Maxwell-Higgs systems with a uniform background electric charge density and show that the self-dual equations satisfied by topological vortices can be reduced to the original Bogomol'nyi equations without any background. These vortices are shown to carry no spin but to feel the Magnus force due to the shielding charge carried by the Higgs field. We also study the dynamics of slowly moving vortices and show that the spin-statistics theorem holds to our vortices.
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