论文标题
局部平衡自旋分布来自详细的平衡
Local Equilibrium Spin Distribution From Detailed Balance
论文作者
论文摘要
作为自旋极化的核心成分，局部平衡自旋分布函数源自详细的平衡原理。相互作用的费米子系统的动力学理论应用于夸克级别的Nambu-Jona-Lasinio模型。根据$ \ hbar $的半古典扩展和相对于$ n_c $的非扰动扩展，矢量和轴向矢量分布函数的动力学方程是用碰撞项得出的。已经发现，对于最初的非偏振系统，可以从向量和轴向向量电荷之间的耦合中以$ \ hbar $的顺序生成非零的自旋极化。局部平衡自旋极化来自详细平衡的要求。它是由热涡度产生的，并且与颗粒动量正交。
As the core ingredient for spin polarization, the local equilibrium spin distribution function is derived from the detailed balance principle. The kinetic theory for interacting fermionic systems is applied to the Nambu--Jona-Lasinio model at quark level. Under the semi-classical expansion with respect to $\hbar$ and non-perturbative expansion with respect to $N_c$, the kinetic equations for the vector and axial-vector distribution functions are derived with collision terms. It is found that, for an initially unpolarized system, non-zero spin polarization can be generated at the order of $\hbar$ from the coupling between the vector and axial-vector charges. The local equilibrium spin polarization is derived from the requirement of detailed balance. It arises from the thermal vorticity and is orthogonal to the particle momentum.
