Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles
arXiv:hep-th/9605022 · doi:10.1006/aphy.1996.0101
Abstract
A technique for evaluating the electromagnetic Casimir energy in situations involving spherical or circular boundaries is presented. Zeta function regularization is unambiguously used from the start and the properties of Bessel and related zeta functions are central. Nontrivial results concerning these functions are given. While part of their application agrees with previous knowledge, new results like the zeta-regularized electromagnetic Casimir energy for a circular wire are included.
accepted in Ann. Phys
Cited by in corpus (61)
- New Developments in the Casimir Effect
- The Casimir effect: Recent controversies and progress
- Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
- Casimir effect for scalar fields under Robin boundary conditions on plates
- Casimir forces in binary liquid mixtures
- Casimir energy in the MIT bag model
- Quantum Stabilization of Compactified AdS_5
- Radion effective potential in the Brane-World
- The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
- Fluctuation - induced forces in critical fluids
- Energy of the vacuum with a perfectly conducting and infinite cylindrical surface
- Simple method for calculating the Casimir energy for sphere
- The Casimir Effect in the Presence of Compactified Universal Extra Dimensions
- Scalar Casimir effect for D-dimensional spherically symmetric Robin boundaries
- On the energy-momentum tensor for a scalar field on manifolds with boundaries
- Direct mode summation for the Casimir energy of a solid ball
- Casimir Energies for Spherically Symmetric Cavities
- Regularized Casimir energy for an infinite dielectric cylinder subject to light-velocity conservation
- Vector Casimir effect for a D-dimensional sphere
- Vacuum densities and zero-point energy for fields obeying Robin conditions on cylindrical surfaces
- Calculating Casimir Energies in Renormalizable Quantum Field Theory
- Casimir Energy for Spherical boundaries
- Casimir energy of a dilute dielectric ball with uniform velocity of light at finite temperature
- Casimir energy in the Fulling--Rindler vacuum
- Spectral Zeta Functions for a Cylinder and a Circle
- Casimir densities for a spherical boundary in de Sitter spacetime
- Casimir Energy of a Semi-Circular Infinite Cylinder
- Surface vacuum energy and stresses on a plate uniformly accelerated through the Fulling-Rindler vacuum
- Electromagnetic -function sphere
- Casimir densities for a spherical shell in the global monopole background
- Casimir effect of electromagnetic field in D-dimensional spherically symmetric cavities
- Massive 3+1 Aharonov-Bohm fermions in an MIT cylinder
- Effect of criticality on wetting layers: A Monte-Carlo simulation study
- Comment on Casimir energy for spherical boundaries
- Vacuum energy in the presence of a magnetic string with delta function profile
- Vacuum Energy and Casimir Force in a Presence of Skin-depth Dependent Boundary Condition
- Local and Global Casimir Energies: Divergences, Renormalization, and the Coupling to Gravity
- Weyl problem and Casimir effects in spherical shell geometry
- Dirichlet Casimir Energy for a Scalar Field in a Sphere: An Alternative Method
- Perturbative zero-point energy for a cylinder of elliptical section
- Attractive Casimir effect in an infrared modified gluon bag model
- Casimir effect due to a single boundary as a manifestation of the Weyl problem
- Finite temperature Casimir effect on spherical shells in (D+1)-dimensional spacetime and its high temperature limit
- The Casimir Effect in Spheroidal Geometries
- Summation formula over the zeros of the associated Legendre function with a physical application
- A summation formula over the zeros of a combination of the associated Legendre functions with a physical application
- Photon Green's function and the Casimir energy in a medium
- Pauli-Villars regularization of Kaluza-Klein Casimir energy with Lorentz symmetry
- Casimir Force between Vortex Matter in Anisotropic and Layered Superconductors
- Casimir self-energy of a δ-δ' sphere
- Casimir interaction of concentric spheres at finite temperature
- Brane Stabilization and Regionality of Extra Dimensions
- Casimir energy for a spherical boundary within the surface impedance approach: Obtaining negative values
- Casimir effect for scalar field rotating on a disk
- UV sensitivity of Casimir energy
- Effective action for in a region with borders
- On the possibility of the implicit renormalization procedure for the Casimir energy
- Effect of the Casimir energy on the bag model phenomenology of light hadrons
- Casimir stress for cylindrical shell in de-Sitter space
- Casimir energy for the scalar field: a global approach with cut-off exponential function
- The Bessel zeta function