Title

Phase Structure of Dynamical Triangulation Models in Three Dimensions

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Ray L. Renken, University of Central Florida
John B. Kogut, University of Illinois at Urbana-Champaign

Document Type

Article

Date

12-9-1997

Language

English

Disciplines

Physics

Description/Abstract

The dynamical triangulation model of three-dimensional quantum gravity is shown to have a line of transitions in an expanded phase diagram which includes a coupling mu to the order of the vertices. Monte Carlo renormalization group and finite size scaling techniques are used to locate and characterize this line. Our results indicate that for mu < mu1 ~ -1.0 the model is always in a crumpled phase independent of the value of the curvature coupling. For mu < 0 the results are in agreement with an approximate mean field treatment. We find evidence that this line corresponds to first order transitions extending to positive mu. However, the behavior appears to change for mu > mu2 ~ 2-4. The simplest scenario that is consistent with the data is the existence of a critical end point.

Additional Information

More information at http://arxiv.org/abs/hep-lat/9712011

Recommended Citation

Catterall, Simon; Renken, Ray L.; and Kogut, John B., "Phase Structure of Dynamical Triangulation Models in Three Dimensions" (1997). Physics - All Scholarship. 479.
https://surface.syr.edu/phy/479

Source

Harvested from Arxiv.org

Creative Commons License

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