论文标题
从手性动力学理论到相对论粘性自旋流体动力学
From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
论文作者
论文摘要
在这项工作中，我们从手性动力学理论开始，并为手性旋转系统构建自旋流体动力框架。使用14摩力的膨胀形式主义，我们获得了具有非平凡自旋极化密度的二阶相对论流体动力学的运动方程。在手性旋转系统中，可以在与手性涡旋效应（CVE）相同的框架中处理旋转对准效果。但是，由于流体涡度而引起的量子校正不仅会在矢量/轴向电荷电流中诱导CVE项，而且还会对应力张量进行校正。在此框架中，对强子自旋极化的粘性校正是自谐的，这对于观察到的Hadron的极化速率的精确预测至关重要，例如$λ$ -Hyperon。
In this work, we start with chiral kinetic theory and construct the spin hydrodynamic framework for a chiral spinor system. Using the 14-moment expansion formalism, we obtain the equations of motion of second-order dissipative relativistic fluid dynamics with non-trivial spin polarization density. In a chiral spinor system, the spin alignment effect could be treated in the same framework as the Chiral Vortical Effect (CVE). However, the quantum corrections due to fluid vorticity induce not only CVE terms in the vector/axial charge currents but also corrections to the stress tensor. In this framework, viscous corrections to the hadron spin polarization are self-consistently obtained, which will be important for the precise prediction of the polarization rate for the observed hadrons, e.g. $Λ$-hyperon.
