论文标题
从有效的现场理论角度来看异常
Anomalies from an effective field theory perspective
论文作者
论文摘要
仪表不变的费米昂理论的路径综合度量在手性转化下进行了转化，并导致了异常的手性沃德 - 塔卡哈西身份的优雅推导，正如我们从藤川的开创性中所知。我们在这项工作中介绍了一种替代性和启发性的方式，可以从有效田间理论中使用的协方差衍生膨胀技术中计算雅各布式。我们提出了几种定制关键正则化的方法，以使异常位于所需的电流中，该电流在路径积分方法中是前所未有的。然后，我们能够以透明和统一的方式得出协变，一致，引力和尺度异常。
The path-integral measure of a gauge-invariant fermion theory is transformed under the chiral transformation and leads to an elegant derivation of the anomalous chiral Ward-Takahashi identities, as we know from the seminal work of Fujikawa. We present in this work an alternative and illuminating way to calculate the Jacobian in the path-integral measure from the Covariant Derivative Expansion technique used in Effective Field Theory. We present several ways to customize the crucial regularization such that the anomaly is located in the desired current, which is unprecedented within the path integral approach. We are then able to derive, in a transparent and unified way the covariant, consistent, gravitational and scale anomalies.
