论文标题
电导率在异常流体动力学中的领先阶磁场依赖性
Leading order magnetic field dependence of conductivities in anomalous hydrodynamics
论文作者
论文摘要
我们表明，在异常的一阶流体动力学中，纵向电导率的磁场依赖性所声称的文献结果取决于此衍生级。特别是，在存在常数$ {\ cal o}（\ partial）$磁场的情况下，我们将重点放在$（3+1）$ - 尺寸流体动力学上，带有$ u（1）$手性异常，并证明，对于衍生物的组成型关系和包括一个衍生物的命令，远程降低了一个较高的命令，从而脱离了远程电导。特别是，以前在文献中发现的磁场依赖性术语仅通过明确的框架依赖性零件输入非零频率热电传导率，表明它们不是物理的。可以通过将磁场纳入流体的平衡状态来完全避免此问题。
We show that literature results claimed for the magnetic field dependence of the longitudinal conductivity in anomalous first-order hydrodynamics are frame dependent at this derivative order. In particular, we focus on $(3+1)$-dimensional hydrodynamics in the presence of a constant ${\cal O}(\partial)$ magnetic field with a $U(1)$ chiral anomaly and demonstrate that, for constitutive relations up to and including order one in derivatives, the anomaly drops out of the longitudinal conductivity. In particular, magnetic field dependent terms that were previously found in the literature only enter the non-zero frequency thermoelectric conductivities through explicitly frame dependent pieces indicating that they are not physical. This issue can be avoided entirely by incorporating the magnetic field into the fluid's equilibrium state.
