Scaling Functions for Baby Universes in Two-Dimensional Quantum Gravity

Details Scaling Functions for Baby Universes in Two-Dimensional Quantum Gravity Scaling Functions for Baby Universes in Two-Dimensional Quantum Gravity

1993-10-15

arxiv.org/abs/hep-th/9310098v1

Nucl.Phys. B416 (1994) 827-849

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 6 figures (not included, available upon request), PUPT-1422

Scientific paper

10.1016/0550-3213(94)90557-6

We apply the recently proposed transfer matrix formalism to 2-dimensional quantum gravity coupled to $(2, 2k-1)$ minimal models. We find that the propagation of a parent universe in geodesic (Euclidean) time is accompanied by continual emission of baby universes and derive a distribution function describing their sizes. The $k\to \infty~ (c\to -\infty)$ limit is generally thought to correspond to classical geometry, and we indeed find a classical peak in the universe distribution function. However, we also observe dramatic quantum effects associated with baby universes at finite length scales.

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