PHASE-STRUCTURE OF 4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY

PHASE-STRUCTURE OF 4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY
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DOI:
10.1016/0370-2693(94)91480-x
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发表时间:
1994-06-02
期刊:
影响因子:
4.4
通讯作者:
RENKEN, R
RENKEN, R
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
CATTERALL, S;KOGUT, J;RENKEN, R

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本文给出了一个基于三角求和的四维欧几里德量子引力模型的高统计蒙特卡罗研究结果。我们显示两个阶段的证据,在一个有一个对数标度的平均线性范围与体积,而其他表现出幂律行为与指数1/2。我们能够提取一个有限大小的标度指数的磁化率峰的增长。
We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling of the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent 1/2. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak.