标题： 关于四维单纯引力中不存在指数界限的研究 显示英文标题

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

摘要： 我们研究了一个被提出用作四维量子引力正则化的模型。配分函数通过在四球的所有三角化上进行加权求和来构建。利用数值模拟，我们发现包含 $V$ 个单纯形的这种三角化的数量以比指数更快的速度随 $V$ 增长。这一性质确保该模型没有热力学极限。 显示英文摘要

摘要： 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.