Document Type
Article
Date
2-28-1997
Language
English
Disciplines
Physics
Description/Abstract
We introduce and investigate numerically a minimal class of dynamical triangulations of two-dimensional gravity on the sphere in which only vertices of order five, six or seven are permitted. We show firstly that this restriction of the local coordination number, or equivalently intrinsic scalar curvature, leaves intact the fractal structure characteristic of generic dynamically triangulated random surfaces. Furthermore the Ising model coupled to minimal two-dimensional gravity still possesses a continuous phase transition. The critical exponents of this transition correspond to the usual KPZ exponents associated with coupling a central charge c=1/2 model to two-dimensional gravity.
Recommended Citation
Bowick, Mark; Catterall, Simon; and Thorleifsson, Gudmar, "Minimal Dynamical Triangulations of Random Surfaces" (1997). Physics - All Scholarship. 170.
https://surface.syr.edu/phy/170
Source
Harvested from Arxiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
Latex, 9 pages, 3 figures, Published version More information at http://arxiv.org/abs/hep-th/9605167