Singular vertices and the triangulation space of the D-sphere

被引:35
作者
Catterall, S
Thorleifsson, G
Kogut, J
Renken, R
机构
[1] UNIV ILLINOIS,LOOMIS LAB PHYS,URBANA,IL 61801
[2] UNIV CENT FLORIDA,DEPT PHYS,ORLANDO,FL 32816
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(96)00130-7
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
By a sequence of numerical experiments we demonstrate that generic triangulations of the D-sphere for D > 3 contain one singular (D - 3)-simplex. The mean number of elementary D-simplices sharing this simplex increases with the volume of the triangulation according to a simple power law. The lower dimension subsimplices associated with this (D - 3)-simplex also show a singular behaviour. Possible consequences for the DT model of four-dimensional quantum gravity are discussed.
引用
收藏
页码:263 / 276
页数:14
相关论文
共 20 条
[1]   SIMULATIONS OF 4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY AS DYNAMIC TRIANGULATION [J].
AGISHTEIN, ME ;
MIGDAL, AA .
MODERN PHYSICS LETTERS A, 1992, 7 (12) :1039-1061
[2]  
AMBJOM J, 1994, LES HOUCH SUMM SCH F
[3]   4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
JURKIEWICZ, J .
PHYSICS LETTERS B, 1992, 278 (1-2) :42-50
[4]   SCALING IN 4-DIMENSIONAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
JURKIEWICZ, J .
NUCLEAR PHYSICS B, 1995, 451 (03) :643-676
[5]   COMPUTATIONAL ERGODICITY OF S-4 [J].
AMBJORN, J ;
JURKIEWICZ, J .
PHYSICS LETTERS B, 1995, 345 (04) :435-440
[6]   ON THE EXPONENTIAL BOUND IN 4-DIMENSIONAL SIMPLICIAL GRAVITY [J].
AMBJORN, J ;
JURKIEWICZ, J .
PHYSICS LETTERS B, 1994, 335 (3-4) :355-358
[7]  
BARTOCCI C, HEPTH9412097
[8]   4D SIMPLICIAL QUANTUM-GRAVITY WITH A NONTRIVIAL MEASURE [J].
BRUGMANN, B ;
MARINARI, E .
PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1908-1911
[9]   MORE ON THE EXPONENTIAL BOUND OF 4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
BRUGMANN, B ;
MARINARI, E .
PHYSICS LETTERS B, 1995, 349 (1-2) :35-41
[10]   SIMULATIONS OF DYNAMICALLY TRIANGULATED GRAVITY - AN ALGORITHM FOR ARBITRARY DIMENSION [J].
CATTERALL, S .
COMPUTER PHYSICS COMMUNICATIONS, 1995, 87 (03) :409-415