Gravitational Casimir energy in non-Abelian Kaluza-Klein theories

Details Gravitational Casimir energy in non-Abelian Kaluza-Klein theories Gravitational Casimir energy in non-Abelian Kaluza-Klein theories

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.3064c&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 12, 15 June 1985, pp.3064-3072

Mathematics

Logic

45

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

Scientific paper

The Casimir energy of the gravitational field in certain Kaluza-Klein theories is computed. Specifically, the one-loop quantum effective potential of the gravitational field on the background manifold (Minkowski space)×(N-sphere) is evaluated as a function of the radius of the N-sphere. (N is restricted to be odd for technical reasons.) Minima of the (real part of the) potential for which the observed cosmological constant is zero are found numerically for N=13, 15, 17, 19, and 21. The potential has an imaginary part which is attributed to ``tachyonic'' terms in the mode sum, although it is argued that the Faddeev-Popov ghost modes do not contribute to this imaginary part.

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