Lorentzian path integral for minisuperspace cosmology

J. David Brown and Erik A. Martinez
Phys. Rev. D 42, 1931 – Published 15 September 1990
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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 Wheeler-DeWitt equation. The Lorentzian path integral is computed explicitly for the de Sitter minisuper-space model and is convergent. The resulting Green function is then related to the solutions of the Wheeler-DeWitt equation known as the Hartle-Hawking and tunneling wave functions of the Universe. The real part of this Green function is a product of Hartle-Hawking wave functions.

  • Received 17 May 1990

DOI:https://doi.org/10.1103/PhysRevD.42.1931

©1990 American Physical Society

Authors & Affiliations

J. David Brown and Erik A. Martinez

  • Institute of Field Physics, Department of Physics and Astronomy, The University of North Carolina, Chapel Hill, North Carolina 27599-3255

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Issue

Vol. 42, Iss. 6 — 15 September 1990

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