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Scalar Casimir effect for a<i>D</i>-dimensional sphere

Scalar Casimir effect for a<i>D</i>-dimensional sphere

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 …