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arXiv · hep-th/0205277

Casimir energy for de Sitter branes in bulk AdS(5)

Wade Naylor·Misao Sasaki
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Abstract

The vacuum energy for a massless conformally coupled scalar field in a brane world set up, corresponding to de Sitter branes in a bulk anti-de Sitter spacetime, is calculated. We use the Euclidean version of the metric which can be conformally related to a metric similar in form to the Einstein universe (S^4 times R). Employing zeta-function regularisation we evaluate the one-loop effective potential and show that the vacuum energy is zero for the one brane and non-zero for the two brane configuration. We comment on the back-reaction of this Casimir energy and on the inclusion of a mass term or non-conformal coupling.

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Wade Naylor, Misao Sasaki. 2002-08-14. Casimir energy for de Sitter branes in bulk AdS(5). https://doi.org/10.1016/s0370-2693(02)02339-0

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