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Main Authors:	Gorkavenko, V. M., Zaporozhchenko, A. O., Tsarenkova, M. S.
Format:	Preprint
Published:	2024
Subjects:	High Energy Physics - Theory Mathematical Physics Quantum Physics
Online Access:	https://arxiv.org/abs/2412.06814
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author	Gorkavenko, V. M. Zaporozhchenko, A. O. Tsarenkova, M. S.
author_facet	Gorkavenko, V. M. Zaporozhchenko, A. O. Tsarenkova, M. S.
contents	We considered the vacuum polarization of a quantized charged scalar matter field in the background of a topological defect modeled by a finite-thickness tube with magnetic flux inside. The tube is impenetrable for quantum matter, and a generalized boundary condition of the Robin type is imposed at its surface. We have shown that in the flat space-time, the total induced vacuum energy does not depend on the coupling $(ξ)$ of the scalar field's interaction with the space-time curvature, only for the partial cases of the Dirichlet and Neumann boundary conditions on the tube's edge. However, for generalized Robin boundary conditions, the total induced energy depends on the coupling $ξ$ in flat space-time, at least for negative values of the boundary condition parameter $-π/2<θ<0$.
format	Preprint
id	arxiv_https___arxiv_org_abs_2412_06814
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature Gorkavenko, V. M. Zaporozhchenko, A. O. Tsarenkova, M. S. High Energy Physics - Theory Mathematical Physics Quantum Physics We considered the vacuum polarization of a quantized charged scalar matter field in the background of a topological defect modeled by a finite-thickness tube with magnetic flux inside. The tube is impenetrable for quantum matter, and a generalized boundary condition of the Robin type is imposed at its surface. We have shown that in the flat space-time, the total induced vacuum energy does not depend on the coupling $(ξ)$ of the scalar field's interaction with the space-time curvature, only for the partial cases of the Dirichlet and Neumann boundary conditions on the tube's edge. However, for generalized Robin boundary conditions, the total induced energy depends on the coupling $ξ$ in flat space-time, at least for negative values of the boundary condition parameter $-π/2<θ<0$.
title	Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature
topic	High Energy Physics - Theory Mathematical Physics Quantum Physics
url	https://arxiv.org/abs/2412.06814

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