NONUNIFORM MEASURE IN 4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY

被引:15
作者
BRUGMANN, B
机构
[1] Physics Department, Syracuse University, Syracuse
来源
PHYSICAL REVIEW D | 1993年 / 47卷 / 08期
关键词
D O I
10.1103/PhysRevD.47.3330
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Four-dimensional Euclidean quantum gravity has been studied as a discrete model based on dynamical triangulations by Ambjorn and Jurkiewicz and by Agishtein and Migdal. We discuss a particular implementation of a Monte Carlo simulation of simplicial quantum gravity. As an application we introduce a nonuniform measure and examine its effect on simple aspects of the mathematical geometry. We find that the transition region from the hot to the cold phase is shifted and that the criticality of the transition changes.
引用
收藏
页码:3330 / 3338
页数:9
相关论文
共 24 条
[1]   CRITICAL-BEHAVIOR OF DYNAMICALLY TRIANGULATED QUANTUM-GRAVITY IN 4 DIMENSIONS [J].
AGISHTEIN, ME ;
MIGDAL, AA .
NUCLEAR PHYSICS B, 1992, 385 (1-2) :395-412
[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]   NUMERICAL STUDY OF A 2-POINT CORRELATION-FUNCTION AND LIOUVILLE FIELD PROPERTIES IN 2-DIMENSIONAL QUANTUM-GRAVITY [J].
AGISHTEIN, ME ;
BENAV, R ;
MIGDAL, AA ;
SOLOMON, S .
MODERN PHYSICS LETTERS A, 1991, 6 (12) :1115-1131
[4]   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
[5]   4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
JURKIEWICZ, J .
PHYSICS LETTERS B, 1992, 278 (1-2) :42-50
[6]  
ASHTEKAR A, 1991, LECTURES NONPERTURBA
[7]   CRUMPLING IN DYNAMICALLY TRIANGULATED RANDOM SURFACES WITH EXTRINSIC CURVATURE [J].
BAILLIE, CF ;
JOHNSTON, DA ;
WILLIAMS, RD .
NUCLEAR PHYSICS B, 1990, 335 (02) :469-501
[8]   NONCANONICAL PATH AND SURFACE SIMULATION [J].
BAUMANN, B .
NUCLEAR PHYSICS B, 1987, 285 (03) :391-409
[9]   INFLUENCE OF THE MEASURE ON SIMPLICIAL QUANTUM-GRAVITY IN 4-DIMENSIONS [J].
BEIRL, W ;
GERSTENMAYER, E ;
MARKUM, H .
PHYSICAL REVIEW LETTERS, 1992, 69 (05) :713-716
[10]  
BOWICK M, IN PRESS NUCL PHYS B