A Repulsive Casimir Effect for Circular Geometries

TL;DR

This paper calculates the Casimir effect for circular geometries in 2+1 dimensions, revealing a repulsive force after renormalization, with implications for domain wall and membrane stability in higher dimensions.

Contribution

It introduces a numerical analytic continuation method to compute the Zeta function for Casimir effects in circular geometries, demonstrating a repulsive force post-renormalization.

Findings

Casimir force is repulsive after subtraction of the pole

Implications for stability of domain walls and membranes

Method applicable to strongly coupled physics scenarios

Abstract

Using numerical analytic continuation, we compute the Zeta function for the Casimir Effect for circular geometries in 2+1 dimensions. After subtraction of the simple pole of the zeta function, essentially MS renormalization, we find the Casimir force is repulsive. Implications for the stability of 2+1 dimensional domain walls and Axion membranes in 3+1 dimensions are discussed, especially in the context of strongly coupled underlying physics.