论文标题
轴向化学电位在手性磁效应中的静态和均匀极限的非交通性
The noncommutativity of the static and homogeneous limit of the axial chemical potential in chiral magnetic effect
论文作者
论文摘要
我们研究了与手性磁效应中与轴向化学势相关的零能量巨孔极限的不同顺序的非销售性。尽管这个非交通性问题源于单循环的奇异性，但不能通过向费米昂繁殖器引入阻尼术语来将其删除。物理上的原因是，仅修改繁殖物将违反轴向矢量的标识，因此需要修改轴向矢量顶点的纵向分量，这有助于CME。然后，用轴向矢量顶点引起的奇异性接管了带有自由费米子繁殖器的夹紧奇异性。我们通过一个具体的示例显示了这种机制。此外，我们通常以极限顺序证明了消失的CME，即鉴于Coleman-Hill定理在静态外部磁场的均匀极限之前采取静态极限。对于首先采取均质极限的相反极限，我们表明非捕集的CME是手性异常对任意外部磁场的肾上腺差异性的结果。
We study the noncommutativity of different orders of zero energy-momentum limit pertaining to the axial chemical potential in the chiral magnetic effect. While this noncommutativity issue originates from the pinching singularity at one-loop order, it cannot be removed by introducing a damping term to the fermion propagators. The physical reason is that modifying the propagator alone would violate the axial-vector Ward identity and as a result a modification of the longitudinal component of the axial-vector vertex is required, which contributes to CME. The pinching singularity with free fermion propagators was then taken over by the singularity stemming from the dressed axial-vector vertex. We show this mechanism by a concrete example. Moreover, we proved in general the vanishing CME in the limit order that the static limit was taken prior to the homogeneous limit in the light of Coleman-Hill theorem for a static external magnetic field. For the opposite limit that the homogeneous limit is taken first, we show that the nonvanishing CME was a consequence of the nonrenormalizability of chiral anomaly for an arbitrary external magnetic field.
