Casimir effect of electromagnetic field in Randall-Sundrum spacetime

Abstract

We study the finite temperature Casimir effect on a pair of parallel perfectly conducting plates in Randall-Sundrum model without using scalar field analogy. Two different ways of interpreting perfectly conducting conditions are discussed. The conventional way that uses perfectly conducting condition induced from 5D leads to three discrete mode corrections. This is very different from the result obtained from imposing 4D perfectly conducting conditions on the 4D massless and massive vector fields obtained by decomposing the 5D electromagnetic field. The latter only contains two discrete mode corrections, but it has a continuum mode correction that depends on the thicknesses of the plates. It is shown that under both boundary conditions, the corrections to the Casimir force make the Casimir force more attractive. The correction under 4D perfectly conducting condition is always smaller than the correction under the 5D induced perfectly conducting condition. These statements are true at any temperature.

20 pages, 4 figures

References in corpus (15)

• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• Mass gap for gravity localized on Weyl thick branes
• Kaluza-Klein models as pistons
• The Casimir Force in Randall Sundrum Models
• Casimir force for a scalar field in warped brane worlds
• The Casimir Force in Randall Sundrum Models with q+1 dimensions
• The Casimir force on a piston in the spacetime with extra compactified dimensions
• Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
• Finite temperature Casimir effect in spacetime with extra compactified dimensions
• Comment on: "The Casimir force on a piston in the spacetime with extra compactified dimensions" [Phys. Lett. B 668 (2008) 72]
• Stress-Energy Tensor Induced by Bulk Dirac Spinor in Randall-Sundrum Model
• Casimir effect of massive vector fields
• Brane world corrections to scalar vacuum force in RSII-p
• The Casimir force in noncommutative Randall-Sundrum models
• Finite Temperature Casimir Effect in the Presence of Extra Dimensions

Cited by in corpus (19)

• Fermionic condensate and Casimir densities in the presence of compact dimensions with applications to nanotubes
• Fermionic current from topology and boundaries with applications to higher-dimensional models and nanophysics
• Finite temperature Casimir effect of massive fermionic fields in the presence of compact dimensions
• Fermionic vacuum currents in topologically nontrivial braneworlds: Two-brane geometry
• Fermionic currents in topologically nontrivial braneworlds
• Electromagnetic two-point functions and Casimir densities for a conducting plate in de Sitter spacetime
• Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds
• Electromagnetic two-point functions and the Casimir effect in Friedmann-Robertson-Walker cosmologies
• Casimir-Polder interactions with massive photons: implications for BSM physics
• Electromagnetic Casimir piston in higher dimensional spacetimes
• Quantum vacuum effects in braneworlds on AdS bulk
• Exact classical sphere-plate Casimir interaction in (D+1)-dimensional spacetime
• Vacuum densities and the Casimir forces for branes orthogonal to the AdS boundary
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• Zero and finite temperature Casimir effect of massive vector field between real metals
• The Casimir effect for parallel plates at finite temperature in the presence of one fractal extra compactified dimension
• Two-point functions and the vacuum densities in the Casimir effect for the Proca field
• Quantum vacuum under mixed boundary conditions: the case for curved spacetime
• Electromagnetic Wightman functions and vacuum densities for a brane intersecting the AdS boundary