We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a perturbative setup and find surprisingly good agreement with measurements of global $\Lambda$-hyperon polarization carried out at RHIC.

中文翻译：

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自旋流的流体动力学

我们在存在非零自旋化学势的情况下研究相对论流体动力学。我们使用各种技术进行了详尽的分析，并确定了这种设置中应力张量和自旋电流的本构关系，使我们能够将运动的流体动力学方程写成二阶导数。然后，我们在微扰设置中求解运动方程，并发现与在 RHIC 进行的全局 $\Lambda$-超子极化测量结果惊人地吻合。