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Complex Langevin: Boundary terms at poles

Erhard Seiler

2020Physical review. D/Physical review. D.15 citationsDOIOpen Access PDF

Abstract

We discuss the problem of possible boundary terms at poles of the drift in the complex Langevin method, which spoil correctness of the method. For the simplest, however paradigmatic cases we can find complete answers. Lessons for more generic cases as well as open mathematical problems are discussed.

Topics & Concepts

CorrectnessBoundary (topology)Langevin dynamicsComputer scienceStatistical physicsTheoretical physicsBoundary value problemPhysicsMathematical economicsApplied mathematicsCalculus (dental)Classical mechanicsMathematicsAlgorithmMathematical analysisMedicineDentistryQuantum many-body systemsCold Atom Physics and Bose-Einstein CondensatesRandom lasers and scattering media
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