Dynamical stabilisation of complex Langevin simulations of QCD
Dynamical stabilisation of complex Langevin simulations of QCD
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DOI：
10.1140/epjc/s10052-018-6512-7
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发表时间：
2018-08
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影响因子：
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通讯作者：
Felipe Attanasio;B. Jäger
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文献类型：
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作者：
Felipe Attanasio;B. Jäger
在有限温度和重子密度下描述强相互作用物质的能力提供了确定非零重子化学势下 QCD 状态方程等的方法。从理论角度来看，直接晶格模拟受到数值符号问题的阻碍，这阻碍了基于重要性采样的传统方法的使用。尽管最近取得了成功，但使用复杂的 Langevin 方法进行的模拟已被证明表现出不稳定性，这会导致收敛到错误的结果。我们介绍并讨论动态稳定（DS）方法，这是一种对复杂朗之万过程的修改，旨在解决这些不稳定性。我们展示了 DS 应用于 QCD 的重密近似的结果，以及零化学势和高温下有限化学势的交错费米子的 QCD。我们的研究结果表明，DS 可以成功应对上述不稳定因素，为进一步进步开辟道路。
The ability to describe strongly interacting matter at finite temperature and baryon density provides the means to determine, for instance, the equation of state of QCD at non-zero baryon chemical potential. From a theoretical point of view, direct lattice simulations are hindered by the numerical sign problem, which prevents the use of traditional methods based on importance sampling. Despite recent successes, simulations using the complex Langevin method have been shown to exhibit instabilities, which cause convergence to wrong results. We introduce and discuss the method of dynamic stabilisation (DS), a modification of the complex Langevin process aimed at solving these instabilities. We present results of DS being applied to the heavy-dense approximation of QCD, as well as QCD with staggered fermions at zero chemical potential and finite chemical potential at high temperature. Our findings show that DS can successfully deal with the aforementioned instabilities, opening the way for further progress.