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

@article{Sitenko2022MagneticFI, title={Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background}, author={Yu. A. Sitenko and Volodymyr M. Gorkavenko and Maria S. Tsarenkova}, journal={Physical Review D}, year={2022} }

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 de-rive, in the…

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