Related papers: Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature

Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature

URL: http://arxiv.org/abs/2412.06814v2
Date: Fri, 11 Jul 2025 21:57:16 GMT
Title: Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature
Authors: V. M. Gorkavenko, A. O. Zaporozhchenko, M. S. Tsarenkova,
Abstract summary: In the flat space-time, the total induced vacuum energy does not depend on the coupling $(xi)$ of the scalar field's interaction with the space-time curvature.<n>We have shown that in the flat space-time, the total induced vacuum energy does not depend on the coupling $xi$ in flat space-time.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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 $(\xi)$ 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 $\xi$ in flat space-time, at least for negative values of the boundary condition parameter $-\pi/2<\theta<0$.

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