Magnetic field in vacuum of quantum spinor matter induced by a cosmic string in three-dimensional space
arXiv:2511.00236 · doi:10.15407/ujpe70.12.823
Abstract
A linear magnetic topological defect (cosmic string) is modeled as a magnetic flux-carrying tube that is impenetrable to external spinor matter. The matter field is quantized in the background of this tube, with the most general set of boundary conditions ensuring both the tube's impenetrability and the self-adjointness of the Dirac Hamiltonian operator. We compute the induced vacuum magnetic flux along the tube in (3+1)-dimensional space-time. It was shown that the requirement for the total induced vacuum magnetic flux to be finite restricts the admissible boundary conditions to only one choice: the MIT quark bag boundary condition. The dependence of the effect on the transverse size of the tube and the flux inside the tube was also analyzed.
arXiv comment12 pages, 2 figures
References in corpus (35)
- Cosmic strings
- Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars
- Origin and Propagation of Extremely High Energy Cosmic Rays
- Cosmic String Production Towards the End of Brane Inflation
- Cosmic F- and D-strings
- Gravitational radiation from cosmic (super)strings: bursts, stochastic background, and observational windows
- Boundary conditions for Dirac fermions on a terminated honeycomb lattice
- The origin, evolution and signatures of primordial magnetic fields
- How generic is cosmic string formation in SUSY GUTs
- The Production, Spectrum and Evolution of Cosmic Strings in Brane Inflation
- Cosmic Strings and Superstrings
- CMB constraints on cosmic strings and superstrings
- Gamma ray bursts from superconducting cosmic strings
- Fermionic current densities induced by magnetic flux in a conical space with a circular boundary
- From a Particle in a Box to the Uncertainty Relation in a Quantum Dot and to Reflecting Walls for Relativistic Fermions
- Self-Adjointness of the Dirac Hamiltonian and Fermion Number Fractionization in the Background of a Singular Magnetic Vortex
- Fermionic condensate in a conical space with a circular boundary and magnetic flux
- Induced vacuum current and magnetic field in the background of a cosmic string
- Fermionic vacuum polarization in compactified cosmic string spacetime
- Search for Cosmic Strings in the COSMOS Survey
- The Casimir effect with quantized charged spinor matter in background magnetic field
- Fermionic Casimir densities in a conical space with a circular boundary and magnetic flux
- Direct Observation of Cosmic Strings via their Strong Gravitational Lensing Effect: II. Results from the HST/ACS Image Archive
- Induced fermionic current by a magnetic tube in the cosmic spacetime
- Polarization of the vacuum of a quantized scalar field by an impenetrable magnetic vortex of finite thickness
- Vacuum energy induced by an impenetrable flux tube of finite radius
- Induced vacuum magnetic flux in quantum spinor matter in the background of a topological defect in two-dimensional space
- Casimir energy and force induced by an impenetrable flux tube of finite radius
- Fermionic vacuum polarization by a magnetic tube in the cosmic string spacetime
- Induced vacuum current and magnetic field in the background of a vortex
- 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
- Induced vacuum magnetic field in the cosmic string background
- Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature