Complex Langevin method: When can it be trusted?

Complex Langevin method: When can it be trusted?
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DOI:
10.1103/physrevd.81.054508
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发表时间:
2009-12
期刊:
影响因子:
5
通讯作者:
G. Aarts;E. Seiler;I. Stamatescu
G. Aarts;E. Seiler;I. Stamatescu
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
G. Aarts;E. Seiler;I. Stamatescu

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我们分析了能够解决所谓的符号问题的复杂兰格文方法在多大程度上被认为是可靠的。我们给出正确性的形式推导,然后指出各种数学漏洞。对一些简单示例的详细研究导致了有关该方法应用的实际建议。
We analyze to what extent the complex Langevin method, which is in principle capable of solving the so-called sign problems, can be considered as reliable. We give a formal derivation of the correctness and then point out various mathematical loopholes. The detailed study of some simple examples leads to practical suggestions about the application of the method.