STUDYING THE CONTINUUM-LIMIT OF THE ISING-MODEL

被引：39
作者：
KIM, JK
PATRASCIOIU, A
机构：
[1] Department of Physics, University of Arizona, Tucson
来源：
PHYSICAL REVIEW D | 1993年 / 47卷 / 06期
关键词：
D O I：
10.1103/PhysRevD.47.2588
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Different continuum limits of the Ising model in dimensions 2, 3, and 4 are investigated numerically. The data indicate that triviality occurs for D = 4 and fails for D < 4 in each limit.
引用
收藏
页码：2588 / 2590
页数：3
相关论文
共 24 条
[1]   GEOMETRIC ANALYSIS OF PHI-4 FIELDS AND ISING-MODELS .1.2. [J].
AIZENMAN, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 86 (01) :1-48
[2]   ON THE RENORMALIZED COUPLING-CONSTANT AND THE SUSCEPTIBILITY IN PI-4-4 FIELD-THEORY AND THE ISING-MODEL IN 4 DIMENSIONS [J].
AIZENMAN, M ;
GRAHAM, R .
NUCLEAR PHYSICS B, 1983, 225 (02) :261-288
[3]   PROOF OF THE TRIVIALITY OF RHO-D4 FIELD-THEORY AND SOME MEAN-FIELD FEATURES OF ISING-MODELS FOR D-GREATER-THAN-4 [J].
AIZENMAN, M .
PHYSICAL REVIEW LETTERS, 1981, 47 (01) :1-4
[4]   PHI-4 ON F4 - NUMERICAL RESULTS [J].
BHANOT, G ;
BITAR, K ;
HELLER, UM ;
NEUBERGER, H .
NUCLEAR PHYSICS B, 1991, 353 (02) :551-564
[5]   CRITICAL PROPERTIES FROM MONTE-CARLO COARSE GRAINING AND RENORMALIZATION [J].
BINDER, K .
PHYSICAL REVIEW LETTERS, 1981, 47 (09) :693-696
[6]   FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].
BINDER, K .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140
[7]   NONTRIVIALITY OF SPONTANEOUSLY BROKEN LAMBDA-PHI-4 THEORIES [J].
BRANCHINA, V ;
CASTORINA, P ;
CONSOLI, M ;
ZAPPALA, D .
PHYSICAL REVIEW D, 1990, 42 (10) :3587-3590
[8]   FINITE SIZE EFFECTS IN PHASE-TRANSITIONS [J].
BREZIN, E ;
ZINNJUSTIN, J .
NUCLEAR PHYSICS B, 1985, 257 (06) :867-893
[9]   HOW TO GET AN UPPER BOUND ON THE HIGGS MASS [J].
DASHEN, R ;
NEUBERGER, H .
PHYSICAL REVIEW LETTERS, 1983, 50 (24) :1897-1900
[10]  
DECONINCK J, 1990, J STAT PHYS, V59, P1451, DOI 10.1007/BF01334759
123