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Calculating the EoS of the dense quark-gluon plasma using the Complex Langevin equation

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arxiv 1907.08712 v2 pith:GDAXM7YP submitted 2019-07-19 hep-lat hep-ph

classification hep-lathep-ph
keywords complexlangevinactionchemicalequationimprovedplasmaquark-gluon
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abstract

The pressure and energy density of the quark-gluon plasma at finite baryon chemical potential are calculated using the Complex Langevin equation. The stout smearing procedure is generalized for the SL(3,$\mathcal{C}$) manifold allowing the usage of an improved action in the Complex Langevin setup. Four degenerate flavors of staggered quarks with $m_\pi=500-700$ MeV are used with a tree-level Symanzik improved gauge action on $16^3 \times 8 $ lattices. Results are compared to the Taylor expansion and good agreement is found for small chemical potentials.

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Cited by 3 Pith papers

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

  1. Diffusion models learn distributions generated by complex Langevin dynamics

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Diffusion models reproduce the distributions sampled by complex Langevin dynamics in a Gaussian and a quartic toy model with complex mass.

  2. Thermodynamics of spin-orbit coupled bosons in two dimensions from complex Langevin

    cond-mat.quant-gas 2019-08 conditional novelty 6.0 of 10

    A complex Langevin simulation of 2D spin-orbit coupled bosons gives a density equation of state where mean-field underestimates density and spin-orbit coupling suppresses pseudo-condensation.

  3. 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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