Title

Scaling and the Fractal Geometry of Two-Dimensional Quantum Gravity

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
G. Thorleifsson, Syracuse University
Mark Bowick, Syracuse UniversityFollow
V. John, Syracuse University

Document Type

Article

Date

4-14-1995

Language

English

Disciplines

Physics

Description/Abstract

We examine the scaling of geodesic correlation functions in two-dimensional gravity and in spin systems coupled to gravity. The numerical 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 approx. 3.8, in support of recent theoretical calculations that d_H = 4. We also discuss the back-reaction of matter on the geometry.

Additional Information

16 pages, LaTeX format, 8 eps figures More information at http://arxiv.org/abs/hep-lat/9504009

Recommended Citation

Catterall, Simon; Thorleifsson, G.; Bowick, Mark; and John, V., "Scaling and the Fractal Geometry of Two-Dimensional Quantum Gravity" (1995). Physics - All Scholarship. 491.
https://surface.syr.edu/phy/491

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.