The unboundedness of the gravitational partition function

The unboundedness of the gravitational partition function Z is formally established. First the Euclidean path integral representation for Z, in terms of the renormalized effective action S eff ren, is derived. Next it is shown that for ‘‘strong’’ fields, S eff ren is unbounded from below. The possib...

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Bibliographic Details
Published in:Journal of mathematical physics 1986-12, Vol.27 (12), p.2998-3002
Main Author: Broda, B.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Gravity in more than four dimensions, kaluza-klein theory, unified field theories
alternative theories of gravity
Physics
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Summary:The unboundedness of the gravitational partition function Z is formally established. First the Euclidean path integral representation for Z, in terms of the renormalized effective action S eff ren, is derived. Next it is shown that for ‘‘strong’’ fields, S eff ren is unbounded from below. The possible influence of the space‐time topology is taken into account.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.527227