World-Sheet Geometry and Baby Universes in 2-D Quantum Gravity

Details World-Sheet Geometry and Baby Universes in 2-D Quantum Gravity World-Sheet Geometry and Baby Universes in 2-D Quantum Gravity

1992-04-07

arxiv.org/abs/hep-th/9204017v1

Phys.Lett. B286 (1992) 239-246

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/0370-2693(92)91769-6

We show that the surface roughness for $c<1$ matter theories coupled to $2D$ quantum gravity is described by a self-similar structure of baby universes. There exist baby universes whose neck thickness is of the order of the ultraviolet cutoff, the largest of these having a macroscopic area $\sim A^{1 \over {1-\gamma}}$, where $A$ is the total area and $\gamma$ the string susceptibility exponent.

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