Gravitational Casimir energy in even dimensions

Details Gravitational Casimir energy in even dimensions Gravitational Casimir energy in even dimensions

Mar 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33.1563m&link_type=abstract

Physical Review D (Particles and Fields), Volume 33, Issue 6, 15 March 1986, pp.1563-1566

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Field Theories In Dimensions Other Than Four, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

A method is described for calculating the one-loop gravitational effective potential (gravitational Casimir energy) in Kaluza-Klein theories with an even number of dimensions. The self-consistency condition that the effective potential vanish at its minimum is used to fix the subtraction point for a renormalization of the graviton wave function. The method avoids the use of a higher-dimensional cosmological constant. The calculation is performed for the background manifold (Minkowski space)⊗(N-sphere), in which case the potential is shown to be real and to possess a single stationary point, which turns out to be a maximum. A higher-dimensional cosmological constant appears to be necessary for global stability of the potential.

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