Casimir effect for curved geometries: PFA validity limits

Details Casimir effect for curved geometries: PFA validity limits Casimir effect for curved geometries: PFA validity limits

2006-01-13

arxiv.org/abs/quant-ph/0601094v1

Phys.Rev.Lett. 96 (2006) 220401

Physics

Quantum Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.96.220401

We compute Casimir interaction energies for the sphere-plate and cylinder-plate configuration induced by scalar-field fluctuations with Dirichlet boundary conditions. Based on a high-precision calculation using worldline numerics, we quantitatively determine the validity bounds of the proximity force approximation (PFA) on which the comparison between all corresponding experiments and theory are based. We observe the quantitative failure of the PFA on the 1% level for a curvature parameter a/R > 0.00755. Even qualitatively, the PFA fails to predict reliably the correct sign of genuine Casimir curvature effects. We conclude that data analysis of future experiments aiming at a precision of 0.1% must no longer be based on the PFA.

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