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QCD equation of state via the complex Langevin method

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arxiv 2203.13144 v1 pith:O4CD2IUX submitted 2022-03-24 hep-lat hep-ph

Felipe Attanasio , Benjamin Jäger , Felix P.G. Ziegler This is my paper · ORCID
classification hep-lathep-ph
keywords latticecomplexfinitelangevinmethodstateab-initioblaze
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abstract

We present lattice simulations on the phase diagram of Quantum Chromodynamics (QCD) with two light quark flavours at finite chemical potential $\mu$. To circumvent the sign problem we use the complex Langevin method. In this study, we have carried out finite density lattice computations for a pion mass of $\sim 480$ MeV. We report on the pressure, energy and entropy equations of state in ab-initio lattice QCD calculations, as well as the observation of the Silver Blaze phenomenon.

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  1. The Role of Integration Cycles in Complex Langevin Simulations

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Complex Langevin results in one- and two-dimensional toy models match a linear combination of integration cycles when boundary terms vanish, and the kernel choice controls which cycles contribute.

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