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. The relativistic spinor matter field is quantized in the vortex background in $2+1$-dimensional conical space-time which is a section orthogonal to the vortex axis; the most general set of boundary conditions ensuring the impenetrability of the vortex core is employed. We find the induced vacuum current circulating around the vortex and the induced vacuum magnetic field strength pointing along the vortex axis. The requirement of finiteness and physical plausibility for the total induced vacuum magnetic flux allows us to restrict the variety of admissible boundary conditions. The dependence of the results on the transverse size of the vortex, as well as on the vortex flux and the parameter of conicity, is elucidated.
Highlights
Spontaneous breakdown of continuous symmetries can give rise to topological defects with rather interesting properties
∂ × BI ðxÞ 1⁄4 ejðxÞ; Since the vacuum of quantum matter exists outside the ANO vortex core, as was already emphasized, an issue of the choice of boundary conditions at the edge of the core is of primary concern
We have studied the impact of boundary conditions at the edge of the ANO vortex core on the vacuum polarization effects in quantum relativistic spinor matter in two-dimensional space
Summary
Spontaneous breakdown of continuous symmetries can give rise to topological defects with rather interesting properties. The current and the magnetic field strength, as well as the energy density and the Casimir force, which are induced in the vacuum of quantum relativistic scalar matter at ν 1⁄4 1 in a space of arbitrary dimension were considered in the above-described context in [23,24,25,26]. In these studies the Dirichlet boundary condition was employed;. We define the current and the magnetic field that are induced in the vacuum of quantum relativistic spinor matter in the background of the ANO vortex of nonzero transverse size. The results for massless quantum spinor matter are presented in Appendix D
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
