Title

On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity

Author(s)/Creator(s)

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

Document Type

Article

Date

3-16-1994

Language

English

Disciplines

Physics

Description/Abstract

We have studied a model which has been proposed as a regularisation for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the four sphere. Using numerical simulation we find that the number of such triangulations containing V simplices grows faster than exponentially with V. This property ensures that the model has no thermodynamic limit.

Additional Information

8 pages, 2 figures More information at http://arxiv.org/abs/hep-lat/9403019

Recommended Citation

Catterall, Simon; Kogut, John B.; and Renken, R., "On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity" (1994). Physics - All Scholarship. 495.
https://surface.syr.edu/phy/495

Source

Harvested from Arxiv.org

Creative Commons License

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