Induced classical gravity

Details Induced classical gravity Induced classical gravity

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991lmaph..21..253n&link_type=abstract

Letters in Mathematical Physics, Volume 21, Issue 3, pp.253-271

Mathematics

Mathematical Physics

3

81E20, 83C15

Scientific paper

We review the induced-gravity approach according to which the Einstein gravity is a long-wavelength effect induced by underlying fundamental quantum fields due to the dynamical-scale symmetry breaking. It is shown that no ambiguities arise in the definition of the induced Newton and cosmological constants if one works with the path integral for fundamental fields in the low-scale region. The main accent is on a specification of the path integral which enables us to utilize the unitarity condition and thereby avoid ambiguities. Induced Einstein equations appear from the symmetry condition that the path integral of fundamental fields for a slowly varying metric is invariant under the local GL(4, R)-transformations of a tetrad, which contain the local Euclidean Lorentz, O(4)-rotations as a subgroup. The relationship to induced quantum gravity is briefly outlined.

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