RANDOM SURFACE DYNAMICS FOR Z2 GAUGE-THEORY

被引:11
作者
BROWER, RC [1 ]
HUANG, SZ [1 ]
机构
[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
来源
PHYSICAL REVIEW D | 1990年 / 41卷 / 02期
关键词
D O I
10.1103/PhysRevD.41.708
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A new Monte Carlo dynamics is proposed for Z2 lattice gauge theory that reduces the dynamical exponent for critical slowing down in three dimensions to z=0.610.05 in comparison with a heat-bath exponent of z=2.10.2. The dynamics is based on plaquette percolation and a nonlocal Monte Carlo update rule analogous to the Swendsen-Wang algorithms for the Potts model. However, the acceleration mechanism for the gauge theory, unlike the spin models, is driven by the percolation and topology of extended surfaces, not the percolation of connected clusters. © 1990 The American Physical Society.
引用
收藏
页码:708 / 711
页数:4
相关论文
共 11 条
[1]  
AIZENMAN M, 1983, COMMUN MATH PHYS, V92, P19, DOI 10.1007/BF01206313
[2]   TOPOLOGICAL ANOMALIES IN THE N-DEPENDENCE OF THE N-STATES POTTS LATTICE GAUGE-THEORY [J].
AIZENMAN, M ;
FROHLICH, J .
NUCLEAR PHYSICS B, 1984, 235 (01) :1-18
[3]  
[Anonymous], 1988, NUMERICAL RECIPES AR
[4]   EMBEDDED DYNAMICS FOR PHI-4 THEORY [J].
BROWER, RC ;
TAMAYO, P .
PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1087-1090
[5]   CLUSTERS AND ISING CRITICAL DROPLETS - A RENORMALIZATION GROUP-APPROACH [J].
CONIGLIO, A ;
KLEIN, W .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (08) :2775-2780
[6]   RANDOM-CLUSTER MODEL .1. INTRODUCTION AND RELATION TO OTHER MODELS [J].
FORTUIN, CM ;
KASTELEYN, PW .
PHYSICA, 1972, 57 (04) :536-+
[7]   THEORY OF DYNAMIC CRITICAL PHENOMENA [J].
HOHENBERG, PC ;
HALPERIN, BI .
REVIEWS OF MODERN PHYSICS, 1977, 49 (03) :435-479
[8]   PERCOLATION AND CLUSTER DISTRIBUTION .1. CLUSTER MULTIPLE LABELING TECHNIQUE AND CRITICAL CONCENTRATION ALGORITHM [J].
HOSHEN, J ;
KOPELMAN, R .
PHYSICAL REVIEW B, 1976, 14 (08) :3438-3445
[9]   ON THE GAUGE POTTS-MODEL AND THE PLAQUETTE PERCOLATION PROBLEM [J].
MARITAN, A ;
OMERO, C .
NUCLEAR PHYSICS B, 1982, 210 (04) :553-566
[10]   NONUNIVERSAL CRITICAL-DYNAMICS IN MONTE-CARLO SIMULATIONS [J].
SWENDSEN, RH ;
WANG, JS .
PHYSICAL REVIEW LETTERS, 1987, 58 (02) :86-88