Z_2对称性破缺时连通两点函数的方差约减估计
A variance reduced estimator of the connected two-point function in the presence of a broken Z_2 symmetry
摘要：
交换或几何聚类算法允许我们定义一个方差约减估计的连通两点函数在存在一个破缺的Z_2对称。我们提出了第一个改进的Blume-Capel模型在简单立方晶格上的数值试验。我们进行模拟的临界等温线，在消失的外部场的低温阶段，并进行比较，也高温阶段。对于连接的两点函数，可以获得方差的大幅减少，使我们能够以高精度计算相关长度。在此基础上，计算了三维伊辛模型普适类的各种普适振幅比的估计.
英文摘要：
The exchange or geometric cluster algorithm allows us to define a variance reduced estimator of the connected two-point function in the presence of a broken Z_2-symmetry. We present first numerical tests for the improved Blume-Capel model on the simple cubic lattice. We perform simulations for the critical isotherm, the low temperature phase at vanishing external field and, for comparison, also the high temperature phase. For the connected two-point function a substantial reduction of the variance can be obtained, allowing us to compute the correlation length with high precision. Based on these results, estimates for various universal amplitude ratios that characterise the universality class of the three-dimensional Ising model are computed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
