### Abstract

We examine the scaling of geodesic correlation functions in two-dimensional gravity and in spin systems coupled to gravity. The numerial data support the scaling hypothesis and indicate that the quantum geometry develops a non-perturbative length scale. The existence of this length scale allows us to extract a Hausdorff dimension. In the case of pure gravity we find d_{H} ≈ 3.8, in support of recent theoretical calculations that d_{H} = 4. We also discuss the back-reaction of matter on the geometry.

Original language | English (US) |
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Pages (from-to) | 58-68 |

Number of pages | 11 |

Journal | Physics Letters B |

Volume | 354 |

Issue number | 1-2 |

DOIs | |

State | Published - Jul 13 1995 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Catterall, S., Thorleifsson, G., Bowick, M., & John, V. (1995). Scaling and the fractal geometry of two-dimensional quantum gravity.

*Physics Letters B*,*354*(1-2), 58-68. https://doi.org/10.1016/0370-2693(95)00623-S