Spontaneous compactification in quantum Kaluza-Klein theories

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 S N . For N = 1 in harmonic gaug...

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Bibliographic Details
Published in:Nuclear physics. B 1986-01, Vol.263 (1), p.187-206
Main Author: Sarmadi, M.H.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
Quantum gravity
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Summary: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 S N . 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.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(86)90034-9