Dataset for "Correctness criteria for complex Langevin"

The complex Langevin approach is a promising method for the numerical treatment of systems with a sign problem, for which conventional lattice field theory techniques based on importance sampling cannot be applied. However, complex Langevin dynamics may fail to converge in some cases and converge to a wrong limit in others, motivating the development of various diagnostic tools over the years to assess the correctness of given simulation results. This work aims at providing a systematic comparison between the most prominent such correctness criteria. In particular, the main goal is to contrast their applicability, ease of use, and -- most importantly -- their predictive power. To this end, four simple but nontrivial models are considered and the criteria applied to each of them. The conclusions are expected to carry over to more realistic theories as well. If you use this data, please cite the corresponding paper:2604.12388 [hep-lat] or better any journal publication arising. This work was funded by the Austrian Science Fund (FWF) [10.55776/P36875].