2025/08/14 by Michael Mandl, Mandl, Michael, Erhard Seiler +3
Biochemistry, Genetics and Molecular Biology · Neuroscience · #Cell Image Analysis Techniques #FOS: Physical sciences #Functional Brain Connectivity Studies #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Neural dynamics and brain function
paper · pdf · doi:10.48550/arxiv.2508.14512
openalex publication_date 2025/08/14 · openalex created_date 2025/10/16 · openalex updated_date 2026/08/03
We derive a family of correctness conditions for complex Langevin simulations. In particular, we show that if in a given theory the expectation values of all observables within a particular space satisfy the theory's Schwinger--Dyson equations as well as certain bounds, then these expectation values are necessarily correct. In fact, these findings are not only valid in the context of complex Langevin simulations, but they also hold for general probability densities on complex manifolds, given an initial complex density on a real manifold. We test these criteria in a few simple one- and two-dimensional toy models and find that they are indeed capable of ruling out incorrect results without the need of exact solutions. If you use this data, please cite the corresponding paper:2508.14512 [hep-lat] or J. Phys. A 58 495202 (2025) This work was funded by the Austrian Science Fund (FWF) [10.55776/P36875].