The Casimir Force in Randall Sundrum Models with q+1 dimensions
Mariana Frank (Concordia Univ.), Nasser Saad (U. of Prince Edward, Island), and Ismail Turan (Concordia Univ.)
TL;DR
This paper calculates the Casimir force in Randall Sundrum models extended with q compact dimensions, providing exact formulas and analyzing how extra dimensions influence the force's magnitude and sign.
Contribution
It offers the first comprehensive derivation of the Casimir force in RS models with multiple compact dimensions, including both RSI and RSII scenarios.
Findings
Extra dimensions significantly affect the Casimir force.
The sign of the force can change depending on the size and number of extra dimensions.
Explicit formulas for the force in models with arbitrary compact dimensions.
Abstract
We evaluate the Casimir force between two parallel plates in Randall Sundrum (RS) scenarios extended by q compact dimensions. After giving exact expressions for one extra compact dimension (RS 6D model), we generalize to an arbitrary number of compact dimensions. We present the complete calculation for both two brane scenario (RSI model) and one brane scenario (RSII models) using the method of summing over the modes. We investigate the effects of extra dimensions on the magnitude and sign of the force, and comment on limits for the size and number of the extra dimensions.
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