论文标题
重力和反平行电荷流动下的二阶手性动力学理论
Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
论文作者
论文摘要
我们在引力黎曼曲率的存在下得出手性动力学理论。众所周知，在手性动力学理论中，不可避免地似乎是一个与洛伦兹框架选择相对应的多余的歧义矢量。我们透露，在选择向量的传统框架之上，对手性动力学理论的高阶量子校正带来了指定分布函数的额外自由度。基于此框架，我们得出了新型的费尔米管转运类型，即引力riemann曲率引起的电荷电流和能量电量张量。这种新现象不仅在真实的重力下，而且在（伪）相对论流体中出现，为此，无均匀的涡度或温度被时空度量张量有效地表示。尤其发现，由于自旋纯净耦合的结果，电荷和能电流是由不均匀的液体涡度诱导的（更普遍地是由RICCI张量$ {R_0}^i $）引起的。我们还简要讨论了WEYL/DIRAC半法和重离子碰撞实验的可能应用。
We derive the chiral kinetic theory under the presence of a gravitational Riemann curvature. It is well-known that in the chiral kinetic theory there inevitably appears a redundant ambiguous vector corresponding to the choice of the Lorentz frame. We reveal that on top of this conventional frame choosing vector, higher-order quantum correction to the chiral kinetic theory brings an additional degrees of freedom to specify the distribution function. Based on this framework, we derive new types of fermionic transport, that is, the charge current and energy-momentum tensor induced by the gravitational Riemann curvature. Such novel phenomena arise not only under genuine gravity but also in a (pseudo-)relativistic fluid, for which inhomogeneous vorticity or temperature are effectively represented by spacetime metric tensor. It is especially found that the charge and energy currents are antiparallelly induced by an inhomogeneous fluid vorticity (more generally, by the Ricci tensor ${R_0}^i$), as a consequence of the spin-curvature coupling. We also briefly discuss possible applications to Weyl/Dirac semimetals and heavy-ion collision experiments.
