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A topological defect in the form of the Abrikosov-Nielsen-Olesen vortex isconsidered as a gauge-flux-carrying tube that is impenetrable for quantummatter. Charged scalar matter field is quantized in the vortex background withthe perfectly reflecting (Dirichlet) boundary condition imposed at the sidesurface of the vortex. We show that a current circulating around the vortex anda magnetic field directed along the vortex are induced in the vacuum, if theCompton wavelength of the matter field exceeds considerably the transverse sizeof the vortex. The vacuum current and magnetic field are periodic in the valueof the gauge flux of the vortex, providing a quantum-field-theoreticalmanifestation of the Aharonov-Bohm effect. The total flux of the induced vacuummagnetic field attains noticeable finite values even for the Compton wavelengthof the matter field exceeding the transverse size of the vortex by just threeorders of magnitude.

Induced vacuum current and magnetic field in the background of a vortex