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Phys. Rev. D 24, 257–274 (1981)

Ground-state expectation value of the metric in the 1/N or semiclassical approximation to quantum gravity

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James B. Hartle and Gary T. Horowitz*
Department of Physics, University of California, Santa Barbara, California 93106

Received 31 December 1981; published in the issue dated 15 July 1981

We consider gravity coupled to N conformally invariant scalar fields and compute the effective action to leading order in 1/N. This approximation turns out to be closely related to semiclassical relativity, where one treats quantum matter interacting with classical gravity. In this approximation we consider two tests of the conjecture that the ground-state expectation value of the metric is flat space. We find evidence that this conjecture is false.

© 1981 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.24.257
DOI:
10.1103/PhysRevD.24.257
PACS:

*Present address: Institute for Advanced Study, Princeton, New Jersey 08540.