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- W4240270752 abstract "The euclidean path integral over compact four-metrics proposed by Hartle and Hawking to define the quantum state of the Universe is examined in the full semiclassical approximation Ψ = P exp(−Ic), where Ic is the action of the extremum and the prefactor P is given by a gaussian integral over small fluctuations around the extremum. We consider spatially homogeneous minisuperspace models of Bianchi types I and III and of the Kantowski-Sachs type, and infinite dimensional models containing the perturbative gravitational field and a massless scalar field on a k = +1 Friedmann-Robertson-Walker minisuperspace backgroud. The prefactor is evaluated using zeta-function regularisation and adopting a scale invariant measure, and it is then related to the factor ordering dependent first derivative terms in the Wheeler-DeWitt equation ĤΨ = 0 through the semiclassical expansion. In the minisuperspace models, the prefactor obtained is consistent with ordering the kinetic term in Ĥ as the natural Laplacian as proposed by Hawking and Page. In the infinite dimensional models, a preferred factor ordering may be found by regularising the divergent semiclassical expansion of the Wheeler-DeWitt equation naively in terms of the Riemann zeta-function; however, no contact with covariant regularisation methods or an infinite dimensional Laplacian is attempted." @default.
- W4240270752 created "2022-05-12" @default.
- W4240270752 date "1991-02-01" @default.
- W4240270752 modified "2023-09-25" @default.
- W4240270752 title "Equilibrium distribution of charged particles in the phase space of a cyclic accelerator" @default.
- W4240270752 doi "https://doi.org/10.1016/0003-4916(91)90009-w" @default.
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