Complex Langevin method: When can it be trusted?

被引：158

作者：

Aarts, Gert ^{[1
]}

Seiler, Erhard ^{[2
]}

Stamatescu, Ion-Olimpiu ^{[3
,4
]}

机构：

[1] Swansea Univ, Dept Phys, Swansea, W Glam, Wales

[2] Max Planck Inst Phys & Astrophys, Werner Heisenberg Inst, D-80805 Munich, Germany

[3] Heidelberg Univ, Inst Theoret Phys, D-6900 Heidelberg, Germany

[4] FEST, Heidelberg, Germany

来源：

PHYSICAL REVIEW D | 2010年 / 81卷 / 05期

关键词：

MONTE-CARLO; SIMULATIONS; EQUATIONS;

D O I：

10.1103/PhysRevD.81.054508

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

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页数：13

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