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Leading-and next-to-leading-order lateral Casimir force on corrugated surfaces. (English) Zbl 1170.81406

Summary: We derive explicit analytic expressions for the lateral force for two different configurations with corrugations, parallel plates and concentric cylinders. By making use of the multiple scattering formalism, we calculate the force for a scalar field under the influence of a delta-function potential that has sinusoidal dependence in one direction simulating the corrugations. By making a perturbative expansion in the amplitude of the corrugation we find the leading order for the corrugated concentric cylinders and the next-to-leading order for the corrugated parallel plates.

MSC:

81T05 Axiomatic quantum field theory; operator algebras
81T99 Quantum field theory; related classical field theories
81T20 Quantum field theory on curved space or space-time backgrounds
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
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References:

[1] DOI: 10.1103/PhysRevLett.97.160401
[2] DOI: 10.1103/PhysRevD.77.025005
[3] DOI: 10.1088/1751-8113/41/15/155402 · Zbl 1136.81419
[4] DOI: 10.1103/PhysRevD.78.065019
[5] DOI: 10.1103/PhysRevD.78.065018
[6] DOI: 10.1103/PhysRevLett.78.3421
[7] DOI: 10.1103/PhysRevA.58.1713
[8] DOI: 10.1103/PhysRevA.67.022114
[9] DOI: 10.1103/PhysRevLett.96.100402
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