On the Initial Singularity Problem in Two Dimensional Quantum Cosmology

Details On the Initial Singularity Problem in Two Dimensional Quantum Cosmology On the Initial Singularity Problem in Two Dimensional Quantum Cosmology

1995-08-22

arxiv.org/abs/hep-th/9508108v2

Phys.Rev. D53 (1996) 6991-6994

Physics

High Energy Physics

High Energy Physics - Theory

9pp, Revtex 3.0. New references added. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.53.6991

The problem of how to put interactions in two-dimensional quantum gravity in the strong coupling regime is studied. It shows that the most general interaction consistent with this symmetry is a Liouville term that contain two parameters $(\alpha, \beta)$ satisfying the algebraic relation $2\beta - \alpha =2$ in order to assure the closure of the diffeomorphism algebra. The model is classically soluble and it contains as general solution the temporal singularity. The theory is quantized and we show that the propagation amplitude fall tozero in $\tau =0$. This result shows that the classical singularities are smoothed by quantum effects and the bing-bang concept could be considered as a classical extrapolation instead of a physical concept.

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