拓扑Weyl材料中的热Nieh-Yan反常
On thermal Nieh-Yan anomaly in topological Weyl materials
摘要：
本文讨论了拓扑Weyl材料中$\partial_μj^μ_5 =γT^2{\cal T}^a\wedge {\cal T}_a$型重力Nieh-Yan反常的可能性，其中$T$是温度，${\cal T}^a$是有效挠率或突现挠率.不同于常规（零温）Nieh-Yan异常中的非普适参数$Λ$--具有动量的正则维数--参数$γ$是无量纲的。这表明，无量纲参数是基本的，由几何，拓扑结构和手征量子场的数量决定，没有任何显式的非普适UV标度。这与文献中的先前结果以及在有限温度下使用扭转磁场的谱流计算一致。
英文摘要：
We discuss the possibility of a gravitional Nieh-Yan anomaly of the type $\partial_μj^μ_5 =γT^2{\cal T}^a\wedge {\cal T}_a$ in topological Weyl materials, where $T$ is temperature and ${\cal T}^a$ is the effective or emergent torsion. As distinct from the non-universal parameter $Λ$ in the conventional (zero temperature) Nieh-Yan anomaly -- with canonical dimensions of momentum -- the parameter $γ$ is dimensionless. This suggests that the dimensionless parameter is fundamental, being determined by the geometry, topology and number of the number of chiral quantum fields without any explicit non-universal UV scales. This conforms with previous results in the literature, as well as spectral flow calculations using torsional magnetic field at finite temperature.
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