Controlling complex Langevin dynamics at finite density
Controlling complex Langevin dynamics at finite density
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DOI：
10.1140/epja/i2013-13089-4
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发表时间：
2013-07-01
影响因子：
2.7
通讯作者：
Stamatescu, Ion-Olimpiu
中科院分区：
文献类型：
--
作者：
Aarts, Gert;Bongiovanni, Lorenzo;Stamatescu, Ion-Olimpiu
在非零化学势下，格点场论中的数值符号问题限制了基于重要抽样的标准算法的使用。复杂的朗之万动力学提供了一个可能的解决方案，但必须小心应用。在这篇综述中，我们首先总结了我们目前对该方法的理解，结合分析和数值分析。在第二部分中，我们研究了SL（N，C）规范冷却，这是最近引入的一个工具，以控制复杂的朗之万动力学的非阿贝尔规范理论。我们提出了新的结果在Polyakov链模型和QCD与重夸克和比较各种自适应冷却的实现。
At nonzero chemical potential the numerical sign problem in lattice field theory limits the use of standard algorithms based on importance sampling. Complex Langevin dynamics provides a possible solution, but it has to be applied with care. In this review, we first summarise our current understanding of the approach, combining analytical and numerical insight. In the second part we study SL(N, C) gauge cooling, which was introduced recently as a tool to control complex Langevin dynamics in nonabelian gauge theories. We present new results in Polyakov chain models and in QCD with heavy quarks and compare various adaptive cooling implementations.