Controlling the model sign problem via the path optimization method: Monte?Carlo approach to a QCD effective model with Polyakov loop
Controlling the model sign problem via the path optimization method: Monte?Carlo approach to a QCD effective model with Polyakov loop
复制标题
通过路径优化方法控制模型符号问题：带有Polyakov环的QCD有效模型的蒙特卡罗方法
DOI：
10.1103/physrevd.99.014033
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发表时间：
2019
影响因子：
5
通讯作者：
Ohnishi Akira
中科院分区：
文献类型：
--
作者：
Kashiwa Kouji;Mori Yuto;Ohnishi Akira
我们将路径优化方法应用于具有有限密度Polyakov环的QCD有效模型，以避免模型符号问题。采用Polyakov-loop扩展Nambu-Jona-Lasinio模型作为典型的QCD有效模型，然后采用混合蒙特卡罗方法进行路径积分。为了控制符号问题，采用时间胶子场复化的路径优化方法对复空间中的积分路径进行修正。结果表明，与原积分路径相比，改进后的积分路径的平均相位因子得到了较好的提高。这表明时间胶子场的复杂性可能足以控制路径优化方法中QCD的符号问题。
We apply the path optimization method to a QCD effective model with the Polyakov loop at finite density to circumvent the model sign problem. The Polyakov-loop extended Nambu–Jona-Lasinio model is employed as the typical QCD effective model and then the hybrid Monte Carlo method is used to perform the path integration. To control the sign problem, the path optimization method is used with complexification of temporal gluon fields to modify the integral path in the complex space. We show that the average phase factor is well improved on the modified integral-path compared with that on the original one. This indicates that the complexification of temporal gluon fields may be enough to control the sign problem of QCD in the path optimization method.