Quantum energies with worldline numerics
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.
Cite
@article{arxiv.hep-th/0511092,
title = {Quantum energies with worldline numerics},
author = {Holger Gies and Klaus Klingmuller},
journal= {arXiv preprint arXiv:hep-th/0511092},
year = {2009}
}
Comments
8 pages, 2 figures, Submitted to the Proceedings of the Seventh Workshop QFEXT'05 (Barcelona, September 5-9, 2005), Refs updated, version to appear in JPhysA