The Complex Langevin method: When can it be trusted?

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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14 pages, including several eps figures and tables; clarification and minor corrections added, to appear in PRD

Scientific paper

10.1103/PhysRevD.81.054508

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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