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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

Testing dynamical stabilization of Complex Langevin simulations of QCD

classification hep-lat
keywords stabilizationtermdynamicaltemperaturesbiascausescomplexlangevin
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

  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. 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.