On the Sign of the Casimir Force Between Two Bodies Coupled to a Dirac field
arXiv:2505.13682
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.
12 pages, LaTeX. Version to appear in PRD