ASYMPTOTIC SCALING IN 2D O(N) NONLINEAR SIGMA-MODELS

被引：43

作者：

WOLFF, U

机构：

[1] Institut für Theoretische Physik, Universität Kiel

来源：

PHYSICS LETTERS B | 1990年 / 248卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(90)90302-M

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present new data for O(4) and O(8) σ-models generated in cluster simulations at large correlation length. Together with results for O(3) they are analyzed with the conclusion that asymptotic scaling sets in earlier with growing n. There is good agreement with recently proposed exact results for m ΛMS, in particular when a resummation technique is used and 3-loop terms are included in the data analysis. © 1990.

引用

收藏

页码：335 / 339

页数：5

相关论文

共 21 条

[1] LATTICE O(N) NONLINEAR SIGMA MODEL - SCALING IN HIGH-TEMPERATURE EXPANSION [J].

BUTERA, P ;

COMI, M ;

MARCHESINI, G .

NUCLEAR PHYSICS B, 1988, 300 (01) :1-30

[2] DYNAMIC CRITICAL-BEHAVIOR OF WOLFF COLLECTIVE-MODE MONTE-CARLO ALGORITHM FOR THE TWO-DIMENSIONAL O(N) NONLINEAR SIGMA-MODEL [J].

EDWARDS, RG ;

SOKAL, AD .

PHYSICAL REVIEW D, 1989, 40 (04) :1374-1377

[3] CORRECTIONS TO UNIVERSAL SCALING FOR THE 2D NON-LINEAR SIGMA MODEL ON THE LATTICE [J].

FALCIONI, M ;

TREVES, A .

PHYSICS LETTERS B, 1985, 159 (2-3) :140-142

[4] THE NONLINEAR SIGMA-MODEL - 3-LOOP RENORMALIZATION AND LATTICE SCALING [J].

FALCIONI, M ;

TREVES, A .

NUCLEAR PHYSICS B, 1986, 265 (04) :671-688

[5] IMPROVED ESTIMATORS FOR A CLUSTER UPDATING OF O(N) SPIN MODELS [J].

HASENBUSCH, M .

NUCLEAR PHYSICS B, 1990, 333 (02) :581-592

[6] THE EXACT MASS GAP OF THE O(N) SIGMA-MODEL FOR ARBITRARY N-GREATER-THAN-OR-EQUAL-TO-3 IN D = 2 [J].

HASENFRATZ, P ;

NIEDERMAYER, F .

PHYSICS LETTERS B, 1990, 245 (3-4) :529-532

[7] MASS GAP, SCALING AND UNIVERSALITY IN THE D = 2 O(3)-SIGMA-MODEL [J].

HASENFRATZ, P ;

NIEDERMAYER, F .

NUCLEAR PHYSICS B, 1990, 337 (01) :233-244

[8] THE EXACT MASS GAP OF THE O(3) AND O(4) NONLINEAR SIGMA-MODELS IN D=2 [J].

HASENFRATZ, P ;

MAGGIORE, M ;

NIEDERMAYER, F .

PHYSICS LETTERS B, 1990, 245 (3-4) :522-528

[9]

LUSCHER M, IN PRESS NUCL PHYS B

[10]

LUSCHER M, 1983, SEP CARG LECT