ASYMPTOTIC SCALING IN THE 2-DIMENSIONAL O(3) SIGMA MODEL AT CORRELATION LENGTH 10(5)

被引：96
作者：
CARACCIOLO, S
EDWARDS, RG
PELISSETTO, A
SOKAL, AD
机构：
[1] IST NAZL FIS NUCL, SEZ LECCE, I-73100 LECCE, ITALY
[2] FLORIDA STATE UNIV, SUPERCOMP COMPUTAT RES INST, TALLAHASSEE, FL 32306 USA
[3] UNIV PISA, DIPARTIMENTO FIS, I-56100 PISA, ITALY
[4] UNIV PISA, IST NAZL FIS NUCL, SEZ PISA, I-56100 PISA, ITALY
[5] NYU, DEPT PHYS, NEW YORK, NY 10003 USA
来源：
PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 10期
关键词：
D O I：
10.1103/PhysRevLett.75.1891
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant sigma model at correlation lengths xi up to similar to 10(5). Our work employs a powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully the systematic and statistical errors in this extrapolation. We then compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is approximate to 25% at xi similar to 10(2), decreases to approximate to 4% at xi similar to 10(5).
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页码：1891 / 1894
页数：4
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