TRANSFER-MATRIX FORMALISM FOR 2-DIMENSIONAL QUANTUM-GRAVITY AND FRACTAL STRUCTURES OF SPACE-TIME

被引:173
作者
KAWAI, H
KAWAMOTO, N
MOGAMI, T
WATABIKI, Y
机构
[1] UNIV TOKYO,INST NUCL STUDY,TANASHI,TOKYO 188,JAPAN
[2] KYOTO UNIV,DEPT PHYS,KYOTO 606,JAPAN
关键词
D O I
10.1016/0370-2693(93)91131-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We develop a transfer matrix formalism for two-dimensional pure gravity. By taking the continuum limit, we obtain a ''Hamiltonian formalism'' in which the geodesic distance plays the role of time. Applying this formalism, we obtain a universal function which describes the fractal structures of two-dimensional quantum gravity in the continuum limit.
引用
收藏
页码:19 / 26
页数:8
相关论文
共 17 条
[1]  
Agishtein M. E., 1990, International Journal of Modern Physics C (Physics and Computers), V1, P165, DOI 10.1142/S0129183190000086
[2]   GEOMETRY OF A 2-DIMENSIONAL QUANTUM-GRAVITY - NUMERICAL STUDY [J].
AGISHTEIN, ME ;
MIGDAL, AA .
NUCLEAR PHYSICS B, 1991, 350 (03) :690-728
[3]   DISEASES OF TRIANGULATED RANDOM SURFACE MODELS, AND POSSIBLE CURES [J].
AMBJORN, J ;
DURHUUS, B ;
FROHLICH, J .
NUCLEAR PHYSICS B, 1985, 257 (03) :433-449
[4]   ANALYTICAL AND NUMERICAL STUDY OF A MODEL OF DYNAMICALLY TRIANGULATED RANDOM SURFACES [J].
BOULATOV, DV ;
KAZAKOV, VA ;
KOSTOV, IK ;
MIGDAL, AA .
NUCLEAR PHYSICS B, 1986, 275 (04) :641-686
[5]   PLANAR DIAGRAMS [J].
BREZIN, E ;
ITZYKSON, C ;
PARISI, G ;
ZUBER, JB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) :35-51
[6]   EXACTLY SOLVABLE FIELD-THEORIES OF CLOSED STRINGS [J].
BREZIN, E ;
KAZAKOV, VA .
PHYSICS LETTERS B, 1990, 236 (02) :144-150
[7]   PLANAR DIAGRAMS, TWO-DIMENSIONAL LATTICE GRAVITY AND SURFACE MODELS [J].
DAVID, F .
NUCLEAR PHYSICS B, 1985, 257 (01) :45-58
[8]  
DAVID F, 1988, MOD PHYS LETT A, V3, P651
[9]   CONFORMAL FIELD-THEORY AND 2-D QUANTUM-GRAVITY [J].
DISTLER, J ;
KAWAI, H .
NUCLEAR PHYSICS B, 1989, 321 (02) :509-527
[10]   STRINGS IN LESS THAN ONE DIMENSION [J].
DOUGLAS, MR ;
SHENKER, SH .
NUCLEAR PHYSICS B, 1990, 335 (03) :635-654