Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background

Abstract

The relativistic spin-0 matter field is quantized in the background of a straight cosmic string with nonvanishing transverse size. The most general boundary condition ensuring the impenetrability of the matter field into the interior of the cosmic string is shown to be the Robin condition with a boundary parameter varying arbitrarily from point to point of the boundary. The role of the bound states in the spectrum of solutions to the Fock-Klein-Gordon equation is elucidated. We derive, in the general case, an analytic expression for the total magnetic flux which is induced in the vacuum in the cosmic string background. The further numerical analysis and requirement of physical plausibility are shown to restrict ambiguity which is due to the boundary condition. The dependence of the induced vacuum magnetic flux on the string flux and tension, as well as on the transverse size of the string, is analyzed.

31 pages, 12 figures, minor changes, references added

References in corpus (7)

• Two Dimensional Atomic Crystals
• Cosmic Strings and Cosmic Superstrings
• Vacuum currents induced by a magnetic flux around a cosmic string with finite core
• Constraints on Brane Inflation and Cosmic Strings
• Induced vacuum current and magnetic flux in quantum scalar matter in the background of a vortex defect with the Neumann boundary condition
• Induced vacuum magnetic field in the cosmic string background
• Induced quantum numbers of a magnetic monopole at finite temperature

Cited by in corpus (6)

• 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
• Effects of Curvature-Scalar Coupling on Vacuum Energy in Flat (3+1)-Dimensional Space-Time
• Vacuum currents in elliptic pseudosphere tubes
• Magnetic field in vacuum of quantum spinor matter induced by a cosmic string in three-dimensional space
• Impact of space-time curvature coupling on the vacuum energy induced by a magnetic topological defect in flat space-time of arbitrary dimension