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Testing dynamical stabilization of Complex Langevin simulations of QCD

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arxiv 2405.20709 v1 pith:FAZBVCTU submitted 2024-05-31 hep-lat

classification hep-lat
keywords stabilizationtermdynamicaltemperaturesbiascausescomplexlangevin
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We study complex Langevin simulations of a toy model as well as QCD, supplemented with a dynamical stabilization (DS) term, which was proposed to regularize the complexified process at lower temperatures. We compare the results to reweghting from zero chemical potential to measure the bias that the inclusion of the stabilization term causes, depending on its strength. At high temperatures the stabilization term is not needed. At low temperatures (below deconfinement transition) the DS term has a beneficial stabilizing effect, but too strong DS term causes phase quenching on the system. We observed that the bias of the dynamical stabilization can be to a good accuracy removed by extrapolating to zero dynamical stabilization force using a sigmoid fit.

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Cited by 2 Pith papers

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

  1. The chiral critical point from the strong coupling expansion

    hep-lat 2025-02 conditional novelty 6.0 of 10

    At O(beta^2) in the strong coupling expansion, the chiral tri-critical point of one-flavor staggered QCD shifts very little for beta up to 1.

  2. Combining complex Langevin dynamics with score-based and energy-based diffusion models

    hep-lat 2025-10 conditional novelty 5.0 of 10

    Energy-based diffusion models trained on complex Langevin data produce an explicit energy function for the sampled distribution, enabling MCMC without re-simulation.

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