Casimir effect for a $D$-dimensional sphere

Details Casimir effect for a $D$-dimensional sphere Casimir effect for a $D$-dimensional sphere

1994-06-08

arxiv.org/abs/hep-th/9406048v1

Phys.Rev. D50 (1994) 6547-6555

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, REVTeX, 4 uuencoded figures, OKHEP-94-05

Scientific paper

10.1103/PhysRevD.50.6547

The Casimir force on a $D$-dimensional sphere due to the confinement of a massless scalar field is computed as a function of $D$, where $D$ is a continuous variable that ranges from $-\infty$ to $\infty$. The dependence of the force on the dimension is obtained using a simple and straightforward Green's function technique. We find that the Casimir force vanishes as $D\to +\infty$ ($D$ non-even integer) and also vanishes when $D$ is a negative even integer. The force has simple poles at positive even integer values of $D$.

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