Casimir Energy for Spherical boundaries

Details Casimir Energy for Spherical boundaries Casimir Energy for Spherical boundaries

1999-02-08

arxiv.org/abs/hep-th/9902057v2

Phys.Rev. D61 (2000) 065005

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 7 pages, Appendix added providing details of failure of stress tensor method

Scientific paper

10.1103/PhysRevD.61.065005

Calculations of the Casimir energy for spherical geometries which are based on integrations of the stress tensor are critically examined. It is shown that despite their apparent agreement with numerical results obtained from mode summation methods, they contain a number of serious errors. Specifically, these include (1) an improper application of the stress tensor to spherical boundaries, (2) the neglect of pole terms in contour integrations, and (3) the imposition of inappropriate boundary conditions upon the relevant propagators. A calculation which is based on the stress tensor and which avoids such problems is shown to be possible. It is, however, equivalent to the mode summation method and does not therefore constitute an independent calculation of the Casimir energy.

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