dorsal/arxiv
View SchemaCasimir effect for curved geometries: PFA validity limits
| Authors | Holger Gies, Klaus Klingmuller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601094 |
| URL | https://arxiv.org/abs/quant-ph/0601094 |
| DOI | 10.1103/PhysRevLett.96.220401 |
| Journal | Phys.Rev.Lett. 96 (2006) 220401 |
Abstract
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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"abstract": "We compute Casimir interaction energies for the sphere-plate and\ncylinder-plate configuration induced by scalar-field fluctuations with\nDirichlet boundary conditions. Based on a high-precision calculation using\nworldline numerics, we quantitatively determine the validity bounds of the\nproximity force approximation (PFA) on which the comparison between all\ncorresponding experiments and theory are based. We observe the quantitative\nfailure of the PFA on the 1% level for a curvature parameter a/R \u003e 0.00755.\nEven qualitatively, the PFA fails to predict reliably the correct sign of\ngenuine Casimir curvature effects. We conclude that data analysis of future\nexperiments aiming at a precision of 0.1% must no longer be based on the PFA.",
"arxiv_id": "quant-ph/0601094",
"authors": [
"Holger Gies",
"Klaus Klingmuller"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"hep-th"
],
"doi": "10.1103/PhysRevLett.96.220401",
"journal_ref": "Phys.Rev.Lett. 96 (2006) 220401",
"title": "Casimir effect for curved geometries: PFA validity limits",
"url": "https://arxiv.org/abs/quant-ph/0601094"
},
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