论文标题
Weyl Systems中的扭转异常和散装对应关系
Torsional Anomalies and Bulk-Dislocation Correspondence in Weyl Systems
论文作者
论文摘要
基于超对称量子机械方法，我们在具有扭转，曲率和外部电磁场的Weyl系统中系统地研究了$ U \左（1 \右）$量表异常。这些异常与手性电流（或当前的）非保守和手性能量摩尔植物（或能量 - 摩氏）不保存有关，可以应用于$^{3} \ text {3} \ text {he-a} $相位，胆管超导体和与脱位和脱位和脱位和脱位和脱位。在与其他异常情况的急剧差异中，存在扭转异常，这取决于韦尔节点在能量弹药空间中的位置。这些异常起源于通过Weyl节点泵送的颗粒，因此它们对超紫色物理不敏感，而Nieh-Yan异常来自粒子通过超紫外线的临界值的流入。发现当前的不保存以及能量摩托车的不保存，这源自陷入脱位中的零模式，可以从Callan-Harvey机制中理解。最后，通过将我们的结果与$^{3} \ text {he-a} $相位的良好动量异常进行比较，nieh-yan术语以及其他因截止术语被证明可忽略不计，因为Lorentz对称性断裂量表和化学电位之间的比率是$ 10^^{-5} $。
Based on the supersymmetric quantum mechanical approach, we have systematically studied both the $U\left(1\right)$ gauge anomaly and the diffeomorphism anomaly in Weyl systems with torsion, curvature and external electromagnetic fields. These anomalies relate to the chiral current (or current) non-conservation and chiral energy-momentum (or energy-momentum) non-conservation, respectively, which can be applied to the $^{3}\text{He-A}$ phase, the chiral superconductors and the Weyl semimetals with dislocations and disclinations. In sharp difference with other anomalies, there exist torsional anomalies depending on the position of Weyl nodes in the energy-momentum space. These anomalies originate from particles pumped up through the Weyl nodes and they are thus insensitive to the ultra-violet physics, while the Nieh-Yan anomaly is from the particle inflow through the ultra-violet cut-off. The current non-conservation as well as the energy-momentum non-conservation are found, which stem from the zero modes trapped in the dislocations and they can be understood from the Callan-Harvey mechanism. Finally, by comparing our results with the well-established momentum anomaly in the $^{3}\text{He-A}$ phase, the Nieh-Yan term as well as other cut-off dependent terms are shown to be negligible, because the ratio between the Lorentz symmetry breaking scale and the chemical potential is of order $10^{-5}$.
