Quantum energies with worldline numerics

Details Quantum energies with worldline numerics Quantum energies with worldline numerics

2005-11-08

arxiv.org/abs/hep-th/0511092v2

J.Phys.A39:6415-6422,2006

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 2 figures, Submitted to the Proceedings of the Seventh Workshop QFEXT'05 (Barcelona, September 5-9, 2005), Refs updat

Scientific paper

10.1088/0305-4470/39/21/S36

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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