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arXiv · 0912.3360

The Complex Langevin method: When can it be trusted?

Gert Aarts·Erhard Seiler·Ion-Olimpiu Stamatescu
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Abstract

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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Gert Aarts, Erhard Seiler, Ion-Olimpiu Stamatescu. 2010-03-17. The Complex Langevin method: When can it be trusted?. https://doi.org/10.1103/physrevd.81.054508

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