Dilaton Quantum Cosmology in Two Dimensions

Details Dilaton Quantum Cosmology in Two Dimensions Dilaton Quantum Cosmology in Two Dimensions

1992-11-22

arxiv.org/abs/hep-th/9211095v1

Phys.Rev. D47 (1993) 4490-4497

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, UTTG-28-92

Scientific paper

10.1103/PhysRevD.47.4490

We consider a renormalizable two-dimensional model of dilaton gravity coupled to a set of conformal fields as a toy model for quantum cosmology. We discuss the cosmological solutions of the model and study the effect of including the backreaction due to quantum corrections. As a result, when the matter density is below some threshold new singularities form in a weak coupling region, which suggests that they will not be removed in the full quantum theory. We also solve the Wheeler-DeWitt equation. Depending on the quantum state of the Universe, the singularities may appear in a quantum region where the wave function is not oscillatory, i.e., when there is not a well defined notion of classical spacetime.

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