Complex Langevin dynamics: criteria for correctness

Details Complex Langevin dynamics: criteria for correctness Complex Langevin dynamics: criteria for correctness

2011-10-26

arxiv.org/abs/1110.5749v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 5 figures. Contribution to the XXIX International Symposium on Lattice Field Theory, July 10 - 16 2011, Squaw Valley,

Scientific paper

The complex Langevin method is a leading candidate for solving the sign problem occurring in various physical situations, notably QCD at finite chemical potential. Its most vexing problem is `convergence to the wrong limit', where the simulation gives a well defined, but incorrect, result. Here, we first outline a formal justification of the method and identify points at which it might fail. From these we derive a condition that must be satisfied in order for correct results to be obtained. We then apply these ideas to the three-imensional SU(3) spin model at finite chemical potential and show strong indications that complex Langevin dynamics yields correct results in this theory.

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