# Wightman function and vacuum densities in de Sitter spacetime with toroidally compactified dimensions

@article{Bellucci2008WightmanFA, title={Wightman function and vacuum densities in de Sitter spacetime with toroidally compactified dimensions}, author={Stefano Bellucci and Aram A. Saharian}, journal={Physical Review D}, year={2008}, volume={77}, pages={124010} }

We investigate the Wightman function, the vacuum expectation values of the field squared, and the energy-momentum tensor for a scalar field with a general curvature coupling parameter in (D+1)-dimensional de Sitter (dS) spacetime with an arbitrary number of compactified spatial dimensions. Both cases of periodicity and antiperiodicity conditions along the compactified dimensions are considered. Recurrence formulas are derived which express the vacuum expectation values for the dS spacetime of…

## 26 Citations

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