IS THERE AN EXPONENTIAL BOUND IN 4-DIMENSIONAL SIMPLICIAL GRAVITY

被引：17

作者：

CATTERALL, S

KOGUT, J

RENKEN, R

机构：

[1] UNIV ILLINOIS, LOOMIS LAB, URBANA, IL 61801 USA

[2] UNIV CENT FLORIDA, DEPT PHYS, ORLANDO, FL 32816 USA

[3] SYRACUSE UNIV, DEPT PHYS, SYRACUSE, NY 13244 USA

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 26期

关键词：

D O I：

10.1103/PhysRevLett.72.4062

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have studied a model which has been proposed as a regularization 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 present evidence that the number of such triangulations containing V simplices may grow faster than exponentially with V. This property would ensure that the model has no thermodynamic limit.

引用

页码：4062 / 4065

页数：4

共 12 条

[1] CRITICAL-BEHAVIOR OF DYNAMICALLY TRIANGULATED QUANTUM-GRAVITY IN 4 DIMENSIONS [J].