论文标题
从手性动力学理论到自旋流体力学
From Chiral Kinetic Theory To Spin Hydrodynamics
论文作者
论文摘要
总角动量在重型离子碰撞中产生的夸克 - 胶原等离子体(QGP)的演变中是保守的,并由两个部门组成:动力学运动引起的轨道角动量(OAM),以及自旋,Quarks和Gluons的内在自由度。显微镜散射过程允许这两个组分之间的转化,因此自旋密度最终可能会对QGP演化产生非平凡的影响。需要正确地考虑具有自旋极化效应的流体动力学理论,以定量研究观察到的Hadron的极化速率,例如$λ$ -Hyperon。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。我们获得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。
The total angular momentum is conserved in the evolution of the Quark-Gluon Plasma (QGP) created in heavy-ion collision, and consists of two sectors: the orbital angular momentum (OAM) caused by kinetic motion, and the spin, an intrinsic degree of freedom of quarks and gluons. Microscopic scattering processes allow the conversion between these two components, hence the spin density could eventually have non-trivial influence on the QGP evolution. A hydrodynamic theory, with the spin polarization effect properly taken into account, is required to quantitatively study the polarization rate for observed hadrons, e.g. the $Λ$-hyperon. In this work, we start with chiral kinetic theory and construct the spin hydrodynamic framework for a chiral spinor system. We obtain the equations of motion of second-order dissipative relativistic fluid dynamics with non-trivial spin polarization density.