Induced vacuum energy-momentum tensor in the background of a d-2 - brane in d+1 - dimensional space-time

Abstract

Charged scalar field is quantized in the background of a static d-2 - brane which is a core of the magnetic flux lines in flat d+1 - dimensional space-time. We find that vector potential of the magnetic core induces the energy-momentum tensor in the vacuum. The tensor components are periodic functions of the brane flux and holomorphic functions of space dimension. The dependence on the distance from the brane and on the coupling to the space-time curvature scalar is comprehensively analysed.

arXiv comment32 pages, 3 figures, journal version, some references added

References in corpus (10)

• Heat kernels and zeta-function regularization for the mass of the supersymmetric kink
• The ground state energy of a spinor field in the background of a finite radius flux tube
• Negative Energy Densities in Quantum Field Theory With a Background Potential
• An Exact QED_{3+1} Effective Action
• Effective Energy for QED${}_{2+1}$ with Semi-Localized Static Magnetic Fields: A Solvable Model
• Static Negative Energies Near a Domain Wall
• Fractional and Integer Charges from Levinson's Theorem
• The Casimir-Aharonov-Bohm effect?
• QED in inhomogeneous magnetic fields
• Vacuum energy in the presence of a magnetic string with delta function profile

Cited by in corpus (10)

• Polarization of the vacuum of a quantized scalar field by an impenetrable magnetic vortex of finite thickness
• Vacuum energy induced by an impenetrable flux tube of finite radius
• Casimir energy and force induced by an impenetrable flux tube of finite radius
• Induced vacuum energy-momentum tensor in the background of a cosmic string
• Semiclassical gravitational effects near a singular magnetic flux
• Induced vacuum energy density of quantum charged scalar matter in the background of an impenetrable magnetic tube with the Neumann boundary condition
• Dependence of scalar matter vacuum energy, induced by a magnetic topological defect, on the coupling to space-time curvature
• Effects of Curvature-Scalar Coupling on Vacuum Energy in Flat (3+1)-Dimensional Space-Time
• Polarization of the vacuum of quantized spinor field by a topological defect in two-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