Finite temperature Casimir effect in spacetime with extra compactified dimensions

Abstract

In this letter, we derive the explicit exact formulas for the finite temperature Casimir force acting on a pair of parallel plates in the presence of extra compactified dimensions within the framework of Kaluza-Klein theory. Using the piston analysis, we show that at any temperature, the Casimir force is always attractive and the effect of extra dimensions becomes stronger when the size or number of the extra dimensions increases. These properties are not affected by the explicit geometry and topology of the Kaluza-Klein space.

6 pages, 3 figures

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• Casimir force in brane worlds: coinciding results from Green's and Zeta function approaches
• 3D scalar model as a 4D perfect conductor limit: dimensional reduction and variational boundary conditions
• The Casimir effect for parallel plates involving massless Majorana fermions at finite temperature
• Basic zeta functions and some applications in physics
• Electromagnetic Casimir piston in higher dimensional spacetimes
• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
• Exact classical sphere-plate Casimir interaction in (D+1)-dimensional spacetime
• Effective Electromagnetic Lagrangian at Finite Temperature and Density in the Electroweak Model
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime