Zeta Functions and the Casimir Energy

Details Zeta Functions and the Casimir Energy Zeta Functions and the Casimir Energy

2009-06-15

arxiv.org/abs/0906.2817v1

Nucl.Phys.B310:163,1988

Physics

High Energy Physics

High Energy Physics - Theory

Pre-arXiv article from 1988; 17 pages, no figures. (Uploaded to arXiv to help researchers with limited library facilities.)

Scientific paper

10.1016/0550-3213(88)90059-4

We use zeta function techniques to give a finite definition for the Casimir energy of an arbitrary ultrastatic spacetime with or without boundaries. We find that the Casimir energy is intimately related to, but not identical to, the one-loop effective energy. We show that in general the Casimir energy depends on a normalization scale. This phenomenon has relevance to applications of the Casimir energy in bag models of QCD. Within the framework of Kaluza-Klein theories we discuss the one-loop corrections to the induced cosmological and Newton constants in terms of a Casimir like effect. We can calculate the dependence of these constants on the radius of the compact dimensions, without having to resort to detailed calculations.

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