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Quantum energies with worldline numerics

Holger Gies·Klaus Klingmuller
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Abstract

We present new results for Casimir forces between rigid bodies which impose Dirichlet boundary conditions on a fluctuating scalar field. As a universal computational tool, we employ worldline numerics which builds on a combination of the string-inspired worldline approach with Monte-Carlo techniques. Worldline numerics is not only particularly powerful for inhomogeneous background configurations such as involved Casimir geometries, it also provides for an intuitive picture of quantum-fluctuation-induced phenomena. Results for the Casimir geometries of a sphere above a plate and a new perpendicular-plates configuration are presented.

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Holger Gies, Klaus Klingmuller. 2006-03-24. Quantum energies with worldline numerics. https://doi.org/10.1088/0305-4470%2F39%2F21%2Fs36

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