刚性旋转且磁化的QED等离子体的Wigner函数
Wigner function of a rigidly rotating and magnetized QED plasma
AI总结：
本文利用黎曼法坐标近似计算了恒定磁场中刚性旋转QED等离子体的Wigner函数，并由此推导能量-动量张量及矢量与轴矢量流，揭示了刚性旋转引起的压强各向异性。
摘要：
我们利用文献中先前提出的黎曼法坐标近似，确定了在恒定磁场存在下刚性旋转的量子电动力学（QED）等离子体的Wigner函数。在该方法中，角速度仅出现在一个特定的相位因子中，这使我们能够在平直时空中计算点分裂费米子两点关联函数。为确保费米子关联函数具有规范不变性，我们引入了一个被固定为产生恒定磁场的背景规范场。利用该Wigner函数，我们推导出该介质的能量-动量张量，它由对角分量和非对角分量组成。通过将我们的结果与理想的有自旋且有涡旋的磁化流体的能量-动量张量进行比较，我们建立了这些分量与热力学量（如能量密度和不同类型的压强）之间的联系。我们证明刚性旋转会导致等离子体中的压强各向异性。此外，我们利用先前给出的Wigner函数计算了该介质相应的矢量流和轴矢量流。我们的结果与关于该主题的现有文献一致。
英文摘要：
We determine the Wigner function of a rigidly rotating quantum electrodynamics (QED) plasma in the presence of a constant magnetic field by utilizing the Riemannian normal coordinate approximation, which has been previously proposed in the literature. In this approach, the angular velocity appears only in a specific phase factor, allowing us to compute the point-split fermion two-point correlation function in flat spacetime. To ensure that the fermion correlation function is gauge invariant, we introduce a background gauge field that is fixed to produce a constant magnetic field. Using this Wigner function, we derive the energy-momentum tensor for this medium, which consists of both diagonal and off-diagonal components. By comparing our results with the energy-momentum tensor of an ideal spinful and vortical magnetized fluid, we establish a connection between these components and thermodynamic quantities, such as energy density and different types of pressure. We demonstrate that rigid rotation leads to pressure anisotropy in plasma. Additionally, we compute the associated vector and axial vector currents for this medium, utilizing the previously presented Wigner function. Our results are consistent with existing literature on the subject.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
