A note on the Casimir energy of a massive scalar field in positive curvature space

Details A note on the Casimir energy of a massive scalar field in positive curvature space A note on the Casimir energy of a massive scalar field in positive curvature space

2003-06-05

arxiv.org/abs/hep-th/0306049v1

Mod.Phys.Lett. A19 (2004) 111-116

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figures

Scientific paper

10.1142/S0217732304012836

We re-evaluate the zero point Casimir energy for the case of a massive scalar field in $\mathbf{R}^{1}\times\mathbf{S}^{3}$ space, allowing also for deviations from the standard conformal value $\xi =1/6$, by means of zero temperature zeta function techniques. We show that for the problem at hand this approach is equivalent to the high temperature regularization of the vacuum energy, as conjectured in a previous publication. Two different, albeit equally valid, ways of doing the analytic continuation are described.

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