Vacuum densities and zero-point energy for fields obeying Robin conditions on cylindrical surfaces

Abstract

The Casimir effect for general Robin conditions on the surface of a cylinder in $D$-spacetime dimensions is studied for massive scalar field with general curvature coupling. The energy distribution and vacuum stress are investigated. We separate volumic and superficial energy contributions, for both interior and exterior space regions. The possibility that some special conditions may be energetically singled out is indicated.

19 pages, 3 figures

References in corpus (2)

• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• Scalar Casimir effect for D-dimensional spherically symmetric Robin boundaries

Cited by in corpus (39)

• The Casimir effect: Recent controversies and progress
• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• The Casimir Effect on Background of Conformally Flat Brane--World Geometries
• Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models
• Surface Casimir densities and induced cosmological constant on parallel branes in AdS
• Wightman function and Casimir densities on AdS bulk with application to the Randall-Sundrum braneworld
• Casimir Energies and Pressures for $\delta$-function Potentials
• Vacuum polarization induced by a cylindrical boundary in the cosmic string spacetime
• On the energy-momentum tensor for a scalar field on manifolds with boundaries
• Casimir energy-momentum tensor for a brane in de Sitter spacetime
• Polarization of the Fulling-Rindler vacuum by uniformly accelerated mirror
• The Casimir effect in the Fulling-Rindler vacuum
• Local and Global Casimir Energies for a Semitransparent Cylindrical Shell
• Spinor Casimir densities for a spherical shell in the global monopole spacetime
• Casimir densities for two concentric spherical shells in the global monopole spacetime
• Surface vacuum energy and stresses on a plate uniformly accelerated through the Fulling-Rindler vacuum
• Local Casimir Energy for a Wedge with circular outer boundary
• QFT over the finite line. Heat kernel coefficients, spectral zeta functions and selfadjoint extensions
• Local Casimir Energies for a Thin Spherical Shell
• Casimir densities for a spherical shell in the global monopole background
• Stress-Energy Tensor Induced by Bulk Dirac Spinor in Randall-Sundrum Model
• Casimir Energy Densities for Parallel Plate on Background of Conformally Flat Brane-World Geometries and Cosmological Constant Problem
• Electromagnetic Casimir densities for a wedge with a coaxial cylindrical shell
• Wightman function and Casimir densities for Robin plates in the Fulling-Rindler vacuum
• Local and Global Casimir Energies: Divergences, Renormalization, and the Coupling to Gravity
• Surface Divergences and Boundary Energies in the Casimir Effect
• Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration
• Whightman function and scalar Casimir densities for a wedge with a cylindrical boundary
• Perturbative zero-point energy for a cylinder of elliptical section
• Scalar Casimir densities for cylindrically symmetric Robin boundaries
• Evaluation of the Casimir Force for a Dielectric-diamagnetic Cylinder with Light Velocity Conservation Condition and the Analogue of Sellmeir's Dispersion Law
• Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries
• Guiding structures with multiply connected cross-sections: evolution of propagation in external fields at complex Robin parameters
• Casimir energy-momentum tensor for a quantized bulk scalar field in the geometry of two curved branes on Friedmann-Robertson-Walker background
• Summation formula over the zeros of the associated Legendre function with a physical application
• Scalar Casimir densities induced by a cylindrical shell in de Sitter spacetime
• Casimir interaction between two concentric cylinders at nonzero temperature
• Local and Global Casimir Energies in a Green's Function Approach
• Casimir Forces for Robin Scalar Field on Cylindrical Shell in de Sitter Space