Work

Scaling and the fractal geometry of two-dimensional quantum gravity

Year: 1995

Type: article

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 dH ≈ 3.8, in support of recent theoretical calculations that dH = 4. We also discuss the back-reaction of matter on the geometry.

Source: Physics Letters B

DOI: 10.1016/0370-2693(95)00623-s

Authors: S. Catterall, G. Thorleifsson, M. Bowick, V. John

Institution: Syracuse University

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

Funders: U.S. Department of Energy, Syracuse University