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

Abstract

A topological defect in the form of the Abrikosov-Nielsen-Olesen vortex is considered as a gauge-flux-carrying tube that is impenetrable for quantum matter. Charged scalar matter field is quantized in the vortex background with the perfectly reflecting (Dirichlet) boundary condition imposed at the side surface of the vortex. We show that a current circulating around the vortex and a magnetic field directed along the vortex are induced in the vacuum, if the Compton wavelength of the matter field exceeds considerably the transverse size of the vortex. The vacuum current and magnetic field are periodic in the value of the gauge flux of the vortex, providing a quantum-field-theoretical manifestation of the Aharonov-Bohm effect. The total flux of the induced vacuum magnetic field attains noticeable finite values even for the Compton wavelength of the matter field exceeding the transverse size of the vortex by just three orders of magnitude.

11 pages, 5 figures

References in corpus (4)

• Gravitational Radiation by Cosmic Strings in a Junction
• Gravitational Wave Bursts from Cosmic Superstring Reconnections
• Casimir energy and force induced by an impenetrable flux tube of finite radius
• Induced Current and Aharonov-Bohm Effect in Graphene

Cited by in corpus (8)

• Induced vacuum magnetic flux in quantum spinor matter in the background of a topological defect in two-dimensional space
• Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background
• Induced vacuum current and magnetic flux in quantum scalar matter in the background of a vortex defect with the Neumann boundary condition
• Induced vacuum energy density of quantum charged scalar matter in the background of an impenetrable magnetic tube with the Neumann boundary condition
• Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature
• Induced vacuum magnetic field in the cosmic string background
• Polarization of the vacuum of quantized spinor field by a topological defect in two-dimensional space
• Magnetic field in vacuum of quantum spinor matter induced by a cosmic string in three-dimensional space