Two- and three-point functions at criticality: Monte Carlo simulations of the improved three-dimensional Blume-Capel model.
Two- and three-point functions at criticality: Monte Carlo simulations of the improved three-dimensional Blume-Capel model.
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DOI：
10.1103/physreve.97.012119
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发表时间：
2017-11
期刊：
影响因子：
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通讯作者：
M. Hasenbusch
中科院分区：
文献类型：
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作者：
M. Hasenbusch
我们计算两个和三个点的功能在临界的三维伊辛普适类。为此，我们模拟了改进的Blume-Capel模型在临界温度下的晶格的线性尺寸高达L=1600。作为检验，还进行自旋1/2伊辛模型的模拟。对于算子乘积展开系数，f_{σσε}=1.051（1），f_{ε}=1.533（5）.这些结果是一致的，但不如最近通过使用自举方法获得的精确。在我们的模拟中的一个重要组成部分是一个方差减少估计的N点函数。有限尺寸修正随L^{-Δ ε}}而消失，其中L是晶格的线性尺寸，Δ ε}是Z_{2}-偶标量ε的标度维数.
We compute two- and three-point functions at criticality for the three-dimensional Ising universality class. To this end, we simulate the improved Blume-Capel model at the critical temperature on lattices of a linear size up to L=1600. As a check, also simulations of the spin-1/2 Ising model are performed. We find f_{σσε}=1.051(1) and f_{εεε}=1.533(5) for operator product expansion coefficients. These results are consistent with but less precise than those recently obtained by using the bootstrap method. An important ingredient in our simulations is a variance reduced estimator of N-point functions. Finite size corrections vanish with L^{-Δ_{ε}}, where L is the linear size of the lattice and Δ_{ε} is the scaling dimension of the leading Z_{2}-even scalar ε.