On the Casimir energy of a massive scalar field in positive curvature space

Details On the Casimir energy of a massive scalar field in positive curvature space On the Casimir energy of a massive scalar field in positive curvature space

2003-11-13

arxiv.org/abs/hep-th/0311114v1

Physics

High Energy Physics

High Energy Physics - Theory

Four pages, latex file; submitted for publication in the Proceedings of the XXIV Brazilian National Meeting on Particles and F

Scientific paper

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 regularisation of the vacuum energy.

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