Finite temperature Casimir effect in spacetime with extra compactified dimensions

TL;DR

This paper derives exact formulas for the finite temperature Casimir force between parallel plates with extra compactified dimensions, showing the force remains attractive and is influenced by the size and number of extra dimensions.

Contribution

It provides explicit formulas for the finite temperature Casimir force in Kaluza-Klein spacetime with extra dimensions, revealing the force's dependence on extra dimensions.

Findings

Casimir force is always attractive at any temperature.

Effect of extra dimensions strengthens with their size or number.

Properties are independent of the geometry and topology of the extra 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.