Casimir energy for de Sitter branes in bulk AdS(5)
High Energy Physics - Theory
2009-10-09 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.hep-th/0205277,
title = {Casimir energy for de Sitter branes in bulk AdS(5)},
author = {Wade Naylor and Misao Sasaki},
journal= {arXiv preprint arXiv:hep-th/0205277},
year = {2009}
}
Comments
6 pages, no figures, references added, typos corrected, to be published in Phys. Lett. B