ASYMPTOTIC SCALING OF THE MASS GAP IN THE 2-DIMENSIONAL O(3) NONLINEAR SIGMA-MODEL - A NUMERICAL STUDY

被引：49

作者：

KIM, JK ^{[1
]}

机构：

[1] UNIV ARIZONA, DEPT PHYS, TUCSON, AZ 85721 USA

来源：

PHYSICAL REVIEW D | 1994年 / 50卷 / 07期

关键词：

D O I：

10.1103/PhysRevD.50.4663

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

For the two-dimensional standard O(3) nonlinear sigma model with the Hamiltonian H = - beta SIGMA([ij]) sigma(i). sigma(j), we report a bulk correlation length (xi(infinity)) up to beta = 2.7 (where the corresponding xi(infinity) congruent-to 15 000) obtained based on a finite-size-scaling Monte Carlo technique. We find that asymptotic scaling starts to set in around beta = 2.3, and that the analytical prediction on xi(infinity) by Hasenfratz, Maggiore, and Niedermayer agrees better with data as beta increases.

引用

页码：4663 / 4667

页数：5

共 26 条

[1]

[Anonymous], 1987, GAUGE FIELDS STRINGS

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