ELEMENTARY MOVES AND ERGODICITY IN D-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY

被引：55

作者：

GROSS, M ^{[1
]}

VARSTED, S ^{[1
]}

机构：

[1] NIELS BOHR INST,DK-2100 COPENHAGEN 0,DENMARK

来源：

NUCLEAR PHYSICS B | 1992年 / 378卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(92)90012-Z

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We define d + 1 types of topology-preserving, elementary, simplicial transformations in d dimensions and show that they are equivalent to the simple moves defined by Alexander for manifolds in d less-than-or-equal-to 4 dimensions. (Only if we make an assumption involving (d - 2)-dimensional spheres can this result be extended to d > 4 dimensions.) Thus our result implies that these "(k, l) moves" (with k + l = d + 2), presently being used in numerical simulations of two- and three-dimensional simplicial quantum gravity, can be used to ergodically span all "combinatorially equivalent" manifolds in d less-than-or-equal-to 4 dimensions.

引用

页码：367 / 380

页数：14

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