The Casimir-Aharonov-Bohm effect?
Yu.A. Sitenko, A.Yu. Babansky
TL;DR
This paper investigates the combined influence of a magnetic vortex and boundary conditions on the quantum vacuum, revealing periodic and holomorphic dependencies in vacuum energy and currents.
Contribution
It introduces a novel analysis of the vacuum effects caused by a magnetic vortex with boundary conditions, highlighting their flux dependence and mathematical properties.
Findings
Vacuum energy density is a periodic function of vortex flux.
Vacuum current exhibits periodicity with respect to flux.
Results depend holomorphically on space dimension.
Abstract
The combined effect of the magnetic field background in the form of a singular vortex and the Dirichlet boundary condition at the location of the vortex on the vacuum of quantized scalar field is studied. We find the induced vacuum energy density and current to be periodic functions of the vortex flux and holomorphic functions of the space dimension.
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