论文标题
弱耦合QCD等离子体中重夸克的旋转松弛率
Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
论文作者
论文摘要
我们计算扰动QCD等离子体中重夸克的旋转密度的放松率在耦合常数$ g $中以领先的速度顺序。旋转放松率$γ_s$ in自旋流体动力学被证明为$γ_s\ sim g^4 \ log（1/g）t（1/g）t（t/m）^2 $在重量夸克极限$ t/m \ ll 1 $中，它比其他非hydrymanic模式的放松率小于其他$ t/m $ $ t/m $。我们展示了三种不同的方法来评估自旋松弛率：1）自旋流体动力学方案中的绿色kubo公式，2）在严格的流体动力学极限中的自旋密度相关功能和3）动量空间中自旋分布功能的量子动力学理论。我们强调了这些方法之间有趣的差异，而它们最终通过底层的沃德卡哈西身份相互连接，以实现非保守的旋转密度。
We compute the relaxation rate of the spin density of heavy quarks in a perturbative QCD plasma to leading-log order in the coupling constant $g$. The spin relaxation rate $Γ_s$ in spin hydrodynamics is shown to be $Γ_s\sim g^4\log(1/g)T (T/M)^2$ in the heavy-quark limit $T/M\ll 1$, which is smaller than the relaxation rate of other non-hydrodynamic modes by additional powers of $T/M$. We demonstrate three different methods to evaluate the spin relaxation rate: 1) the Green-Kubo formula in the spin hydrodynamic regime, 2) the spin density correlation function in the strict hydrodynamic limit, and 3) quantum kinetic theory of the spin distribution function in momentum space. We highlight the interesting differences between these methods, while they are ultimately connected to each other by the underlying Ward-Takahashi identity for the non-conserved spin density.
