On the Casimir energy of a massive scalar field in positive curvature space
Abstract
Description
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 $ξ=1/6$, 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.
Four pages, latex file; submitted for publication in the Proceedings of the XXIV Brazilian National Meeting on Particles and Fields held in Caxambu MG, Brazil September 30 -- October 4, 2003
Four pages, latex file; submitted for publication in the Proceedings of the XXIV Brazilian National Meeting on Particles and Fields held in Caxambu MG, Brazil September 30 -- October 4, 2003