Title

Minimal Dynamical Triangulations of Random Surfaces

Author(s)/Creator(s)

Mark Bowick, Syracuse UniversityFollow
Simon Catterall, Syracuse UniversityFollow
Gudmar Thorleifsson, Syracuse University

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.

Additional Information

Latex, 9 pages, 3 figures, Published version More information at http://arxiv.org/abs/hep-th/9605167

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.