A Feynman prescription for the Hartle-Hawking proposal

Details A Feynman prescription for the Hartle-Hawking proposal A Feynman prescription for the Hartle-Hawking proposal

Nov 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5l.181l&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, Nov. 1, 1988, p. L181-L185. Research supported by the University of Hels

Statistics

Computation

5

Computational Astrophysics, Cosmology, Gravitation Theory, Quantum Mechanics, Wave Functions, Astronomical Models, Lorentz Transformations, Variational Principles

Scientific paper

The definition of the Hartle-Hawking path integral in a class of spatially homogeneous minisuperspace models is discussed. Building on a detailed analysis of the classical variational principle, a Lorentzian path integral is constructed between fixed final values of the scale factors and fixed initial values of their proper time derivatives. It is then argued that the Hartle-Hawking wavefunction can be obtained by analytically continuing the initial Lorentzian proper time derivatives to the corresponding Euclidean proper time derivatives. In the de Sitter minisuperspace model this prescription is shown to yield the wavefunction obtained by Hartle and Hawking.

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