A UNIVERSAL FRACTAL STRUCTURE OF 2D QUANTUM-GRAVITY FOR C-GREATER-THAN-1

被引:36
作者
AMBJORN, J
THORLEIFSSON, G
机构
[1] The Niels Bohr Institute, DK-2100 Copenhagen Ø
关键词
D O I
10.1016/0370-2693(94)00055-7
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate the fractal structure of 2d quantum gravity coupled to matter by measuring the distributions of so-called baby universes. We demonstrate that the method works well as long as c less-than-or-equal-to 1. For c > 1 it is not clear what distribution to expect. However, we observe strikingly similar distributions for various kinds of matter fields with the same c. This indicate that there might be some range of c > 1 where the central charge of the matter fields alone determines the fractal structure of gravity coupled to matter. The hypothesis that the string susceptibility gamma = 1/3 is found to be compatible with the data for 1 < c less-than-or-equal-to 4.
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页码:7 / 12
页数:6
相关论文
共 30 条
[1]   A PROPOSAL FOR STRINGS AT D-GREATER-THAN-1 [J].
ALVAREZGAUME, L ;
BARBON, JLF ;
CRNKOVIC, C .
NUCLEAR PHYSICS B, 1993, 394 (02) :383-422
[2]   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
[3]   MATTER FIELDS WITH C GREATER-THAN 1 COUPLED TO 2D GRAVITY [J].
AMBJORN, J ;
DURHUUS, B ;
JONSSON, T ;
THORLEIFSSON, G .
NUCLEAR PHYSICS B, 1993, 398 (03) :568-592
[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]  
AMBJORN J, 1992, ACTA PHYS POL B, V23, P991
[6]   3-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
VARSTED, S .
NUCLEAR PHYSICS B, 1992, 373 (02) :557-577
[7]   QUANTUM-GRAVITY, DYNAMIC TRIANGULATIONS AND HIGHER-DERIVATIVE REGULARIZATION [J].
AMBJORN, J ;
JURKIEWICZ, J ;
KRISTJANSEN, CF .
NUCLEAR PHYSICS B, 1993, 393 (03) :601-629
[8]   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
[9]   BABY UNIVERSES IN 2D QUANTUM-GRAVITY [J].
AMBJORN, J ;
JAIN, S ;
THORLEIFSSON, G .
PHYSICS LETTERS B, 1993, 307 (1-2) :34-39
[10]   ENTROPY ESTIMATE IN 3-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
VARSTED, S .
PHYSICS LETTERS B, 1991, 266 (3-4) :285-290