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Eur. Phys. J. C (2011) 71:1756 DOI 10.1140/epjc/s10052-011-1756-5

Summary: Eur. Phys. J. C (2011) 71:1756
DOI 10.1140/epjc/s10052-011-1756-5
Regular Article - Theoretical Physics
Complex Langevin: etiology and diagnostics of its main problem
Gert Aarts1,a, Frank A. James1,b, Erhard Seiler2,c, Ion-Olimpiu Stamatescu3,d
Department of Physics, Swansea University, Swansea, UK
Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), München, Germany
Institut für Theoretische Physik, Universität Heidelberg and FEST, Heidelberg, Germany
Received: 1 August 2011 / Revised: 5 September 2011
© Springer-Verlag / Società Italiana di Fisica 2011
Abstract The complex Langevin method is a leading can-
didate for solving the so-called sign problem occurring in
various physical situations. Its most vexing problem is that
sometimes it produces `convergence to the wrong limit'. In
this paper we carefully revisit the formal justification of the
method, identifying points at which it may fail and derive a
necessary and sufficient criterion for correctness. This crite-


Source: Aarts, Gert - Department of Physics, University of Wales Swansea


Collections: Physics