Monte Carlo simulation of CPN-1 models.
Monte Carlo simulation of CPN-1 models.
复制标题
CPN-1 模型的蒙特卡罗模拟。
DOI：
--
复制
发表时间：
1992
期刊：
影响因子：
--
通讯作者：
E. Vicari
中科院分区：
文献类型：
--
作者：
M. Campostrini;Paolo Rossi;E. Vicari
二维CP{sup {ital N}{minus}1}模型的数值模拟在{ital N}=2、10和21时进行。所采用的格点作用量明确地依赖于规范自由度，并表现出早熟的标度性。我们的尺度测试是一维物理量的稳定性（相关函数的二阶矩与质量间隙的倒数，磁化率与平方相关长度）和旋转不变性。通过测量拓扑敏感性和提取阿贝尔弦张力，探讨了模型的拓扑性质。讨论和比较了拓扑荷的几种不同的（局部和非局部）格定义。从连续1/{italN}展开导出的定性物理图像得到证实，与定量1/{italN}预测的一致性是令人满意的。在CP{sup 1}{approx}O（3）的情况下考虑了变体（Symanzik改进的）作用，并发现与普适性和以前的模拟（当可比较时）一致。详细讨论了算法的动力学特性和临界指数。
Numerical simulations of two-dimensional CP{sup {ital N}{minus}1} models are performed at {ital N}=2, 10, and 21. The lattice action adopted depends explicitly on the gauge degrees of freedom and shows precocious scaling. Our tests of scaling are the stability of adimensional physical quantities (second moment of the correlation function versus inverse mass gap, magnetic susceptibility versus square correlation length) and rotation invariance. Topological properties of the models are explored by measuring the topological susceptibility and by extracting the Abelian string tension. Several different (local and nonlocal) lattice definitions of topological charge are discussed and compared. The qualitative physical picture derived from the continuum 1/{ital N} expansion is confirmed, and agreement with quantitative 1/{ital N} predictions is satisfactory. Variant (Symanzik-improved) actions are considered in the CP{sup 1}{approx}O(3) case and agreement with universality and previous simulations (when comparable) is found. The simulation algorithm is an efficient picture of over-heat-bath and microcanonical algorithms. The dynamical features and critical exponents of the algorithm are discussed in detail.