On the meaning of path integrals in quantum cosmology.

Details On the meaning of path integrals in quantum cosmology. On the meaning of path integrals in quantum cosmology.

Apr 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991anphy.207...53k&link_type=abstract

Ann. Phys. (N.Y.), Vol. 207, No. 1, p. 53 - 70

Physics

15

Cosmology: Quantum Gravity

Scientific paper

The meaning of path integrals in quantum cosmology is explored in detail. This is first done through comparison with energy-dependent Green functions in quantum mechanics and the proper time representation for the Klein-Gordon equation. Then a minisuperspace model corresponding to a Friedmann universe with a conformally coupled scalar field is discussed at length. The author investigates in particular which class of solutions to the Wheeler-DeWitt equation is found through the choice of possible contours of integration in the path integral. The path integral can be evaluated exactly for Hartle-Hawking boundary conditions, while for the general case it is evaluated through a steepest-descent approximation. It is shown that the results do not correspond to solutions reflecting the classical behavior of the model.

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