SCALING IN QUANTUM-GRAVITY

被引：131
作者：
AMBJORN, J
WATABIKI, Y
机构：
[1] Niels Bohr Institute, DIC 2100 Copenhagen Ø
来源：
NUCLEAR PHYSICS B | 1995年 / 445卷 / 01期
关键词：
D O I：
10.1016/0550-3213(95)00154-K
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：
The 2-point function is the natural object in quantum gravity for extracting critical behavior: The exponential falloff of the 2-point function with geodesic distance determines the fractal dimension d(H) of space-time. The integral of the 2-point function determines the entropy exponent gamma, i.e. the fractal structure related to baby universes, while the short distance behavior of the 2-point function connects gamma and d(H) by a quantum gravity version of Fisher's scaling relation. We verify this behavior in the case of 2d gravity by explicit calculation.
引用
收藏
页码：129 / 142
页数：14
相关论文
共 24 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]   PROPERTIES OF LOOP EQUATIONS FOR THE HERMITIAN MATRIX MODEL AND FOR 2-DIMENSIONAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
MAKEENKO, YM .
MODERN PHYSICS LETTERS A, 1990, 5 (22) :1753-1763
[3]   MATRIX MODEL-CALCULATIONS BEYOND THE SPHERICAL LIMIT [J].
AMBJORN, J ;
CHEKHOV, L ;
KRISTJANSEN, CF ;
MAKEENKO, Y .
NUCLEAR PHYSICS B, 1993, 404 (1-2) :127-172
[4]   SUMMING OVER ALL GENERA FOR D-GREATER-THAN-1 - A TOY MODEL [J].
AMBJORN, J ;
DURHUUS, B ;
JONSSON, T .
PHYSICS LETTERS B, 1990, 244 (3-4) :403-412
[5]   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
[6]   4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
JURKIEWICZ, J .
PHYSICS LETTERS B, 1992, 278 (1-2) :42-50
[7]   DISEASES OF TRIANGULATED RANDOM SURFACE MODELS, AND POSSIBLE CURES [J].
AMBJORN, J ;
DURHUUS, B ;
FROHLICH, J .
NUCLEAR PHYSICS B, 1985, 257 (03) :433-449
[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]  
AMBJORN J, IN PRESS NUCL PHYS B
[10]   CONFORMAL FIELD-THEORIES COUPLED TO 2-D GRAVITY IN THE CONFORMAL GAUGE [J].
DAVID, F .
MODERN PHYSICS LETTERS A, 1988, 3 (17) :1651-1656
123