Abstract
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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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data sharing not applicable to this article as no datasets were generated or analysed during the current study.]
Notes
It has been recently shown in a study of 2D U(1) gauge theory on a torus with a \(\theta \)-term that correct convergence can be obtained even when the unitarity norm is large [59]. In that study, it was also found that observables only thermalise after the unitarity norm saturates.
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Acknowledgements
We are grateful for discussion and collaboration with Gert Aarts and Ion-Olimpiu Stamatescu. We thank Dénes Sexty for providing one of the figures to this manuscript. The work of F.A. was supported by US DOE Grant No. DE-FG02-97ER41014 MOD27.
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Communicated by Laura Tolos.
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Attanasio, F., Jäger, B. & Ziegler, F.P.G. Complex Langevin simulations and the QCD phase diagram: recent developments. Eur. Phys. J. A 56, 251 (2020). https://doi.org/10.1140/epja/s10050-020-00256-z
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DOI: https://doi.org/10.1140/epja/s10050-020-00256-z