Monte Carlo renormalization of 2d simplicial quantum gravity coupled to Gaussian matter

被引:0
作者
Gregory, EB [1 ]
Catterall, SM
Thorleifsson, G
机构
[1] Syracuse Univ, Dept Phys, Syracuse, NY 13244 USA
[2] Univ Bielefeld, Fac Phys, D-33615 Bielefeld, Germany
关键词
quantum gravity; simplicial; Monte Carlo renormalization; Gaussian fields;
D O I
10.1016/S0550-3213(98)00771-8
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
We extend a recently proposed real-space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Monte Carlo simulations in combination with a linear, stochastic blocking scheme for the scalar fields we are able to determine the leading eigenvalues of the stability matrix with good accuracy both for c(M) = 1 and c(M) = 10 theories. (C) 1999 Elsevier Science B.V.
引用
收藏
页码:289 / 304
页数:16
相关论文
共 18 条
[1]   Quantum geometry of 2D gravity coupled to unitary matter [J].
Ambjorn, J ;
Anagnostopoulos, KN .
NUCLEAR PHYSICS B, 1997, 497 (1-2) :445-475
[2]   ON THE FRACTAL STRUCTURE OF 2-DIMENSIONAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
JURKIEWICZ, J ;
WATABIKI, Y .
NUCLEAR PHYSICS B, 1995, 454 (1-2) :313-342
[3]   A UNIVERSAL FRACTAL STRUCTURE OF 2D QUANTUM-GRAVITY FOR C-GREATER-THAN-1 [J].
AMBJORN, J ;
THORLEIFSSON, G .
PHYSICS LETTERS B, 1994, 323 (01) :7-12
[4]   BABY UNIVERSES IN 2D QUANTUM-GRAVITY [J].
AMBJORN, J ;
JAIN, S ;
THORLEIFSSON, G .
PHYSICS LETTERS B, 1993, 307 (1-2) :34-39
[5]  
AMBJORN J, 1992, LES HOUCH SUMM SCH F
[6]   NONLINEAR RENORMALIZATION GROUPS [J].
BELL, TL ;
WILSON, KG .
PHYSICAL REVIEW B, 1974, 10 (09) :3935-3944
[7]   FINITE-LATTICE APPROXIMATIONS TO RENORMALIZATION GROUPS [J].
BELL, TL ;
WILSON, KG .
PHYSICAL REVIEW B, 1975, 11 (09) :3431-3444
[8]   THE GAUSSIAN MODEL FIXED-POINT ON A 4-DIMENSIONAL FINITE LATTICE [J].
BENNETT, A .
NUCLEAR PHYSICS B, 1988, 300 (02) :253-262
[9]   SCALING AND THE FRACTAL GEOMETRY OF 2-DIMENSIONAL QUANTUM-GRAVITY [J].
CATTERALL, S ;
THORLEIFSSON, G ;
BOWICK, M ;
JOHN, V .
PHYSICS LETTERS B, 1995, 354 (1-2) :58-68
[10]  
DAVID F, 1987, MOD PHYS LETT B, V186, P379