Mixed anomalies: Chiral vortical effect and the Sommerfeld expansion
Mixed anomalies: Chiral vortical effect and the Sommerfeld expansion
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DOI：
10.1103/physrevd.98.025012
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发表时间：
2018-04
影响因子：
5
通讯作者：
M. Stone;JiYoung Kim
中科院分区：
文献类型：
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作者：
M. Stone;JiYoung Kim
我们讨论了索末菲展开中费米分布函数的整数矩与手征费米子反常守恒律中的系数之间的关系。作为说明，我们从3+1维能量-动量守恒定律的规范-重力混合反常中提取了手征磁热能流。然后，我们用类似的方法证实了这样的猜想，即$T^2/12$对手征涡旋效应(CVE)流的热贡献来自3+1维手征反常中的引力庞特里亚金项
We discuss the connection between the integer moments of the Fermi distribution function that occur in the Sommerfeld expansion and the coefficients that occur in anomalous conservation laws for chiral fermions. As an illustration we extract the chiral magneto-thermal energy current from the mixed gauge-gravity anomaly in the 3+1 dimensional energy-momentum conservation law. We then use a similar method to confirm the conjecture that the $T^2/12$ thermal contribution to the chiral vortical effect (CVE) current arises from the gravitational Pontryagin term in the 3+1-dimensional chiral anomaly