A Repulsive Casimir Effect for Circular Geometries

• URL: http://arxiv.org/abs/2203.12166v1
• Date: Wed, 23 Mar 2022 03:22:00 GMT
• Title: A Repulsive Casimir Effect for Circular Geometries
• Authors: Daniel Davies
• Abstract summary: We find the Casimir force is repulsive after subtraction of the simple pole of the zeta function. implications for the stability of 2+1 dimensional domain walls and Axion membranes in 3+1 dimensions are discussed.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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