volume 42, issue 6, P1931-1943 1990
DOI: 10.1103/physrevd.42.1931
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Abstract: The path integral for minisuperspace models of cosmology is defined as a sum over Lorentzian geometries, and is a Green function for the Wheeler-DeWitt operator. It is shown to be a symmetric function of the initial and final configurations, and its real part is a solution to the WheelerDeWitt equation. The Lorentzian path integral is computed explicitly for the de Sitter minisuperspace model and is convergent. The resulting Green function is then related to the solutions of the Wheeler-DeWitt equation known …

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