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.

arXiv comment31 pages, 12 figures, minor changes, references added

References in corpus (28)

• Topological insulators and superconductors
• Two Dimensional Atomic Crystals
• Phosphorene: A New 2D Material with High Carrier Mobility
• Two and one-dimensional honeycomb structures of silicon and germanium
• Cosmic strings
• Origin and Propagation of Extremely High Energy Cosmic Rays
• Gravitational radiation from cosmic (super)strings: bursts, stochastic background, and observational windows
• How generic is cosmic string formation in SUSY GUTs
• Formation and evolution of cosmic D-strings
• Cosmic Strings and Superstrings
• Gamma ray bursts from superconducting cosmic strings
• Aharonov-Bohm Effect with $\delta$--type Interaction
• Electronic properties of graphene with a topological defect
• Cosmic Strings and Cosmic Superstrings
• Vacuum currents induced by a magnetic flux around a cosmic string with finite core
• Cosmic Superstrings Revisited
• Gravity of Monopole and String and Gravitational Constant in 3He-A
• Self-Adjointness of the Dirac Hamiltonian and Fermion Number Fractionization in the Background of a Singular Magnetic Vortex
• Constraints on Brane Inflation and Cosmic Strings
• Induced vacuum current and magnetic field in the background of a cosmic string
• The Casimir-Aharonov-Bohm effect?
• The Casimir effect with quantized charged scalar matter in background magnetic field
• Induced vacuum magnetic flux in quantum spinor matter in the background of a topological defect in two-dimensional space
• Properties of the ground state of electronic excitations in carbon-like nanocones
• Induced vacuum current and magnetic field in the background of a vortex
• 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