Casimir force in noncommutative Randall-Sundrum models revisited

TL;DR

This paper introduces a new method to calculate the Casimir force in noncommutative Randall-Sundrum models, demonstrating that the force remains attractive at all approximation orders, contrary to previous claims of possible repulsion.

Contribution

A novel computational approach for the Casimir force in noncommutative Randall-Sundrum models applicable to all orders of the noncommutative parameter.

Findings

Casimir force is always attractive at any order of approximation.

The proposed method can compute the force to any order in the noncommutative parameter.

Contradicts previous claims of repulsive Casimir force in the model.

Abstract

We propose another method to compute the Casimir force in noncommutative Randall-Sundrum braneworld model considered by K. Nouicer and Y. Sabri recently. Our method can be used to compute the Casimir force to any order in the noncommutative parameter. Contrary to the claim made by K. Nouicer and Y. Sabri that repulsive Casimir force can appear in the first order approximation, we show that the Casimir force is always attractive at any order of approximation.