On the connection between the cosmological constant and the gravitational constant in a theory of induced gravity

Details On the connection between the cosmological constant and the gravitational constant in a theory of induced gravity On the connection between the cosmological constant and the gravitational constant in a theory of induced gravity

Nov 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phlb..148..287p&link_type=abstract

Physics Letters B, Volume 148, Issue 4-5, p. 287-290.

Physics

9

Scientific paper

The path-integral formulation of quantum gravity has been utilized by Hawking to show how the effective cosmological constant Λeff may vanish. A closely related (but less general) discussion has been given independently by Baum, in terms of a scalar field φ. We extend these analyses to a model of induced gravity, in which the classical Hilbert lagrangian density (16πG)-1 R is replaced by 1/2ɛφ. If the effective potential has the Coleman-Weinberg form Veff = 1/4λφ4[1n(φ2/σ2) - 1/2 + const., then the most probable configuration is again the one for which Λeff vanishes. The induced gravitational constant is positive, and it is independent of temperature.
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