Casimir Effect on the brane

Abstract

We consider the Casimir effect between two parallel plates localized on a brane. In order to properly compute the contribution to the Casimir energy due to any higher dimensional field, it is necessary to take into account the localization properties of the KK modes. When no massless mode appears in the spectrum, the correction to the Casimir energy is exponentially suppressed. When a massless mode is present in the spectrum, the correction to the Casimir energy can be, in principle, sizeable. Here we illustrate a new method to compute the correction to the Casimir energy between two parallel plates, localized on a brane. The Casimir energy is suppressed by two factors: at lowest order in $\epsilon$, the correction comes entirely from the massive mode and turns out to be exponentially suppressed; the next-to-leading order correction in $\epsilon$ follows, instead, a power-law suppression due to the small wave function overlap of the zero-mode with matter confined on the visible brane. Generic comments on the constraints on new physics that may arise from Casimir force experiments are also made.

9 pages, 3 figures; version to appear in Phys. Rev. D Abstract shortened in the arXive entry

References in corpus (11)

• Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect
• Casimir force on a piston
• Kaluza-Klein models as pistons
• The Casimir Force in Randall Sundrum Models
• The Casimir Force in Randall Sundrum Models with q+1 dimensions
• The Casimir force on a piston in the spacetime with extra compactified dimensions
• The perfect magnetic conductor (PMC) Casimir piston in d+1 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]
• Cancellation of nonrenormalizable hypersurface divergences and the d-dimensional Casimir piston

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