Finite temperature Casimir effect for scalar field with Robin boundary conditions in spacetime with extra dimensions

Abstract

In this article, we study the finite temperature Casimir effect for scalar field with Robin boundary conditions on two parallel plates in a background spacetime that has a compact internal manifold with arbitrary geometry. The finite temperature Casimir force acting on the plates is derived using the piston approach, with which we show that the divergences of the Casimir forces from the region between the plates and the region outside the plates cancel each other. The nature and asymptotic behaviors of the Casimir force at different limits such as small and large plate separation, low and high temperature, are studied in detail. The range of Robin coefficients where the Casimir force are always attractive or always repulsive are determined. There are also some range of the Robin coefficients where the Casimir force is shown to be attractive at small plate separation and repulsive at large plate separation, or vise versa.

19 pages, 8 figures, final version accepted by J. High Energy Phys

References in corpus (14)

• Casimir Forces between Compact Objects: I. The Scalar Case
• Casimir force on a piston
• Surface Casimir densities and induced cosmological constant in higher dimensional braneworlds
• Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes
• Kaluza-Klein models as pistons
• The Casimir force on a piston in the spacetime with extra compactified dimensions
• Vacuum Energy, the Cosmological Constant and Compact Extra Dimensions: Constraints from Casimir Effect Experiments
• 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]
• Casimir effect for the scalar field under Robin boundary conditions: A functional integral approach
• Casimir densities for a plate in de Sitter spacetime
• Finite temperature Casimir effect for massive scalar field in spacetime with extra dimensions
• Thermal Casimir effect with soft boundary conditions

Cited by in corpus (16)

• Fermionic condensate and Casimir densities in the presence of compact dimensions with applications to nanotubes
• Casimir effect for parallel plates in de Sitter spacetime
• Casimir effect between two spheres at small separations
• A simple model for the dynamical Casimir effect for a static mirror with time-dependent properties
• Fermionic current from topology and boundaries with applications to higher-dimensional models and nanophysics
• Casimir Piston of Real Materials and its Application to Multi-Layer Models
• Finite temperature Casimir effect of massive fermionic fields in the presence of compact dimensions
• Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration
• Quantum information measures of the one-dimensional Robin quantum well
• Electromagnetic Casimir piston in higher dimensional spacetimes
• Exact classical sphere-plate Casimir interaction in (D+1)-dimensional spacetime
• Finite temperature Casimir interaction between spheres in $(D+1)$-dimensional spacetime: Exact computations and asymptotic expansions
• Casimir interaction of concentric spheres at finite temperature
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• Casimir interaction between two concentric cylinders at nonzero temperature
• Perturbative approach to Dynamical Casimir effect in an interface of dielectric mediums