On the Sign of the Casimir Force Between Two Bodies Coupled to a Dirac field

• URL: http://arxiv.org/abs/2505.13682v2
• Date: Wed, 16 Jul 2025 12:26:57 GMT
• Title: On the Sign of the Casimir Force Between Two Bodies Coupled to a Dirac field
• Abstract summary: We show that a sufficient condition for the Casimir interaction to be repulsive, is for their geometric configuration to be odd under the same reflection operation considered in that work.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We apply the result of Kenneth and I. Klich, Phys. Rev. Lett.97, 160401 (2006) to derive a theorem for two objects coupled to a Dirac field. We demonstrate that a sufficient condition for the Casimir interaction to be repulsive, is for their geometric configuration to be odd under the same reflection operation considered in that work.

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