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Adaptive stepsize and instabilities in complex Langevin dynamics
Gert Aarts (Swansea University), Frank James (Swansea University), Erhard Seiler (MPI Munich), Ion-Olimpiu Stamatescu (Heidelberg University and FEST, Heidelberg)
Résumé : 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 new 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.