论文标题
相对论流体的极化：量子场理论推导
Polarization in relativistic fluids: a quantum field theoretical derivation
论文作者
论文摘要
我们回顾了统计量子场理论框架内相对论流体中极化的计算。我们为单个量子相对论粒子和量子自由场的旋转密度矩阵和平均自旋矢量的表达式得出。在引入标量和迪拉克场的协变量函数的形式主义之后，获得了旋转密度矩阵与协变量Wigner函数之间的关系。该公式通过使用局部热力学平衡密度算子并恢复先前已知的公式，将公式应用于相对论核碰撞中产生的流体。这些结果对应力 - 能量张量的自旋张量和伪规变化的依赖性得到了解决。
We review the calculation of polarization in a relativistic fluid within the framework of statistical quantum field theory. We derive the expressions of the spin density matrix and the mean spin vector both for a single quantum relativistic particle and for a quantum free field. After introducing the formalism of the covariant Wigner function for the scalar and the Dirac field, the relation between spin density matrix and the covariant Wigner function is obtained. The formula is applied to the fluid produced in relativistic nuclear collisions by using the local thermodynamic equilibrium density operator and recovering previously known formulae. The dependence of these results on the spin tensor and pseudo-gauge transformations of the stress-energy tensor is addressed.
