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Adaptive stepsize and instabilities in complex Langevin dynamics

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arxiv 0912.0617 v2 pith:BGITEFL4 submitted 2009-12-03 hep-lat hep-thnucl-th

Gert Aarts (Swansea University) , Frank A. James (Swansea University) , Erhard Seiler (MPI Munich) , Ion-Olimpiu Stamatescu (Heidelberg University , FEST , Heidelberg) This is my paper · ORCID
classification hep-lathep-thnucl-th
keywords complexstepsizeadaptivelangevintheoriestrajectoriesunstableaction
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Stochastic quantization offers the opportunity to simulate field theories with a complex action. In some theories unstable trajectories are prevalent when a constant stepsize is employed. We construct algorithms for generating an adaptive stepsize in complex Langevin simulations and find that unstable trajectories are completely eliminated. To illustrate the generality of the approach, we apply it to the three-dimensional XY model at nonzero chemical potential and the heavy dense limit of QCD.

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Cited by 1 Pith paper

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  1. The Role of Integration Cycles in Complex Langevin Simulations

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Complex Langevin results in one- and two-dimensional toy models match a linear combination of integration cycles when boundary terms vanish, and the kernel choice controls which cycles contribute.

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