Adaptive stepsize and instabilities in complex Langevin dynamics

Details Adaptive stepsize and instabilities in complex Langevin dynamics Adaptive stepsize and instabilities in complex Langevin dynamics

2009-12-03

arxiv.org/abs/0912.0617v2

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, several eps figures; clarification and minor corrections added, to appear in PLB

Scientific paper

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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