Spontaneous compactification in quantum Kaluza-Klein theories

Details Spontaneous compactification in quantum Kaluza-Klein theories Spontaneous compactification in quantum Kaluza-Klein theories

Jan 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986nuphb.263..187s&link_type=abstract

Nuclear Physics B, Volume 263, Issue 1, p. 187-206.

Physics

Nuclear Physics

35

Scientific paper

We study the one-loop effective action for pure gravity in higher odd-dimensional spaces with a cosmological constant. We develop a method for computing the effective action for backgrounds which are a product of 4-dimensional space-time and an odd-dimensional sphere SN. For N = 1 in harmonic gauge the potential has an unstable stationary point at which the one-loop corrected Newton constant has a wrong sign. For N > 1 in harmonic gauge there is an imaginary contribution to the effective potential from the Faddeev-Popov ghost. The results for spheres up to N = 17 are presented.

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