Multipoint reweighting method and its applications to lattice QCD
Multipoint reweighting method and its applications to lattice QCD
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多点重加权方法及其在格子QCD中的应用
DOI：
10.1103/physrevd.92.094507
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
and T. Umeda
中科院分区：
文献类型：
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作者：
R. Iwami;S. Ejiri;K. Kanaya;Y. Nakagawa;D. Yamamoto;and T. Umeda
在QCD的数值研究中，重加权方法得到了广泛的应用，特别是对于不能直接应用传统的Monte Carlo方法的情况，例如，有限密度QCD然而，由于一些问题，再称重方法的应用范围受到限制。这里最严重的问题之一是重叠问题。为了解决这个问题，我们研究了一个多点重新加权的方法，其中模拟在几个模拟点相结合的数据分析。本文系统地研究了零密度双味QCD中多点重加权方法的适用性和局限性。通过测量一系列模拟点上物理量的直方图，我们应用多点重加权方法计算了介子质量作为规范耦合和跳跃参数的连续函数。然后，我们确定线的恒定物理和β函数，这是需要在有限温度下的状态方程的计算。
The reweighting method is widely used in numerical studies of QCD, in particular, for the cases in which the conventional Monte Carlo method cannot be applied directly, e.g., finite density QCD. However, the application range of the reweighing method is restricted due to several problems. One of the most severe problems here is the overlap problem. To solve it, we examine a multipoint reweighting method in which simulations at several simulation points are combined in the data analyses. We systematically study the applicability and limitation of the multipoint reweighting method in two-flavor QCD at zero density. Measuring histograms of physical quantities at a series of simulation points, we apply the multipoint reweighting method to calculate the meson masses as continuous functions of the gauge couplingand the hopping parameters. We then determine lines of constant physics and beta functions, which are needed in a calculation of the equation of state at finite temperature.