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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

Adaptive stepsize and instabilities in complex Langevin dynamics

classification hep-lat hep-thnucl-th
keywords complexstepsizeadaptivelangevintheoriestrajectoriesunstableaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Finite-density equation of state of hot QCD using the complex Langevin equation

    hep-lat 2026-04 unverdicted novelty 6.0

    Continuum-extrapolated lattice QCD simulations with complex Langevin produce the equation of state at high baryon chemical potentials above the crossover temperature at the physical point.

  2. The emergence of (3+1)-dimensional expanding spacetime from complex Langevin simulations of the Lorentzian type IIB matrix model with deformations

    hep-th 2026-04 unverdicted novelty 5.0

    Complex Langevin simulations of the deformed Lorentzian type IIB matrix model show emergence of smooth (3+1)-dimensional expanding spacetime with real space and time.

  3. Correctness criteria for complex Langevin

    hep-lat 2026-04 unverdicted novelty 4.0

    A comparison of prominent correctness criteria for complex Langevin dynamics on four simple models shows differences in applicability, ease of use, and predictive power.