ON THE EXPONENTIAL BOUND IN 4-DIMENSIONAL SIMPLICIAL GRAVITY

被引:19
作者
AMBJORN, J [1 ]
JURKIEWICZ, J [1 ]
机构
[1] JAGIELLONIAN UNIV, INST PHYS, PL-30059 KRAKOW, POLAND
关键词
D O I
10.1016/0370-2693(94)90363-8
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Simplicial quantum gravity 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 4-sphere. The model is well-defined only if the number of such triangulations consisting of N simplexes is exponentially bounded. Numerical simulations seem so far to favor such a bound.
引用
收藏
页码:355 / 358
页数:4
相关论文
共 19 条
[1]   3-DIMENSIONAL QUANTUM-GRAVITY AS DYNAMIC TRIANGULATION [J].
AGISHTEIN, ME ;
MIGDAL, AA .
MODERN PHYSICS LETTERS A, 1991, 6 (20) :1863-1884
[2]   SIMULATIONS OF 4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY AS DYNAMIC TRIANGULATION [J].
AGISHTEIN, ME ;
MIGDAL, AA .
MODERN PHYSICS LETTERS A, 1992, 7 (12) :1039-1061
[3]   THE VACUUM IN 3-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
BOULATOV, DV ;
KRZYWICKI, A ;
VARSTED, S .
PHYSICS LETTERS B, 1992, 276 (04) :432-436
[4]   THE APPEARANCE OF CRITICAL DIMENSIONS IN REGULATED STRING THEORIES [J].
AMBJORN, J ;
DURHUUS, B ;
FROHLICH, J ;
ORLAND, P .
NUCLEAR PHYSICS B, 1986, 270 (03) :457-482
[5]   4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
JURKIEWICZ, J .
PHYSICS LETTERS B, 1992, 278 (1-2) :42-50
[6]   OBSERVING 4D BABY UNIVERSES IN QUANTUM-GRAVITY [J].
AMBJORN, J ;
JAIN, S ;
JURKIEWICZ, J ;
KRISTJANSEN, CF .
PHYSICS LETTERS B, 1993, 305 (03) :208-213
[7]   3-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
VARSTED, S .
NUCLEAR PHYSICS B, 1992, 373 (02) :557-577
[8]   DISEASES OF TRIANGULATED RANDOM SURFACE MODELS, AND POSSIBLE CURES [J].
AMBJORN, J ;
DURHUUS, B ;
FROHLICH, J .
NUCLEAR PHYSICS B, 1985, 257 (03) :433-449
[9]   QUANTUM-GRAVITY, DYNAMIC TRIANGULATIONS AND HIGHER-DERIVATIVE REGULARIZATION [J].
AMBJORN, J ;
JURKIEWICZ, J ;
KRISTJANSEN, CF .
NUCLEAR PHYSICS B, 1993, 393 (03) :601-629
[10]   THE APPEARANCE OF CRITICAL DIMENSIONS IN REGULATED STRING THEORIES (II) [J].
AMBJORN, J ;
DURHUUS, B ;
FROHLICH, J .
NUCLEAR PHYSICS B, 1986, 275 (02) :161-184