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Complex Langevin simulations and the QCD phase diagram: Recent developments

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arxiv 2006.00476 v2 pith:MXUN3QWW submitted 2020-05-31 hep-lat

Complex Langevin simulations and the QCD phase diagram: Recent developments

classification hep-lat
keywords complexlangevinrecentdevelopmentsdiagrammethodphasesimulations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this review we present the current state-of-the-art on complex Langevin simulations and their implications for the QCD phase diagram. After a short summary of the complex Langevin method, we present and discuss recent developments. Here we focus on the explicit computation of boundary terms, which provide an observable that can be used to check one of the criteria of correctness explicitly. We also present the method of Dynamic Stabilization and elaborate on recent results for fully dynamical QCD.

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  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.