The wave function and the effective action in quantum cosmology: Covariant loop expansion

Details The wave function and the effective action in quantum cosmology: Covariant loop expansion The wave function and the effective action in quantum cosmology: Covariant loop expansion

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phlb..195..344b&link_type=abstract

Physics Letters B, Volume 195, Issue 3, p. 344-348.

Physics

43

Scientific paper

The wave function in quantum cosmology is presented in the form of a rigorously defined covariant functional integral involving the relativistic gauge-breaking and ghost contributions and calculable beyond the semiclassical approximation. The functional integral is formulated both in the lorentzian and euclidean spacetimes and includes the case of the Hartle-Hawking prescription for the cosmological wave function. The relationship between this function and the on-shell effective action in quantum cosmology is established. The loop diagrammatic technique for the proposed integral is derived by setting the boundary-value problems for the gravitational and ghost-field propagators and the one-loop approximation is presented, useful for application to concrete cosmological problems.

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