Goldstone-mode effects and scaling function for the three-dimensional O(4) model

被引:68
作者
Engels, J [1 ]
Mendes, T [1 ]
机构
[1] Univ Bielefeld, Fak Phys, D-33615 Bielefeld, Germany
关键词
Goldstone modes; scaling function; O(N) models;
D O I
10.1016/S0550-3213(00)00046-8
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We investigate numerically the three-dimensional O(4) model on 24(3)-120(3) lattices as a function of the magnetic field H. We verify explicitly the singularities induced by Goldstone modes in the low-temperature phase of the model, and show that they are also observed close to the critical temperature. Our results are well described by the perturbative form of the model's magnetic equation of state, with coefficients determined nonperturbatively from our data. The resulting expression Is used to generate the magnetization's scaling function parametrically. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:289 / 304
页数:16
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