# Wightman function and the Casimir effect for a Robin sphere in a constant curvature space

@article{Bellucci2014WightmanFA, title={Wightman function and the Casimir effect for a Robin sphere in a constant curvature space}, author={Stefano Bellucci and Aram A. Saharian and N. A. Saharyan}, journal={The European Physical Journal C}, year={2014}, volume={74}, pages={1-19} }

We evaluate the Wightman function, the mean field squared and the vacuum expectation value of the energy–momentum tensor for a scalar field with the Robin boundary condition on a spherical shell in the background of a constant negative curvature space. For the coefficient in the boundary condition there is a critical value above which the scalar vacuum becomes unstable. In both the interior and the exterior regions, the vacuum expectation values are decomposed into the boundary-free and sphere…

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