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

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 $-\pi /2<\theta <0$.

16 pages, 5 figures

References in corpus (5)

• Direct Higgs-gravity interaction and stability of our Universe
• Induced vacuum magnetic flux in quantum spinor matter in the background of a topological defect in two-dimensional space
• Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background
• Induced vacuum current and magnetic flux in quantum scalar matter in the background of a vortex defect with the Neumann boundary condition
• Induced vacuum energy density of quantum charged scalar matter in the background of an impenetrable magnetic tube with the Neumann boundary condition

Cited by in corpus (3)

• Effects of Curvature-Scalar Coupling on Vacuum Energy in Flat (3+1)-Dimensional Space-Time
• Magnetic field in vacuum of quantum spinor matter induced by a cosmic string in three-dimensional space
• Impact of space-time curvature coupling on the vacuum energy induced by a magnetic topological defect in flat space-time of arbitrary dimension