论文标题
使用Pauli-Villars正则化对Pontryagin的调查痕迹异常
Investigation of Pontryagin trace anomaly using Pauli-Villars regularization
论文作者
论文摘要
在本文中,我们研究了使用Pauli-Villars正则化的一般弯曲背景下的pontryagin痕量痕量异常。我们同时使用Feynman图方法和Fujikawa的方法来计算奇偶校验贡献(Pontryagin项)。我们的结果表明,手性费米子的能量张力张量的痕量异常具有pontryagin项$ p = \ frac {i} {1536π^2}ε_{νσκλ} r^{νσ \ cite {bonora:2014qla}。
In this paper, we investigate the Pontryagin trace anomaly for chiral fermions in a general curved background using Pauli-Villars regularization. We use both Feynman diagram method and Fujikawa's method to calculate the parity-odd contribution (Pontryagin term). Our result indicates that the trace anomaly of energy-momentum tensor for chiral fermions has Pontryagin term $P=\frac{i}{1536π^2}ε_{νσκλ}R^{νσ}_{\ \ ρμ}R^{ρμκλ}$ which agrees with the work of Bonora et al \cite{Bonora:2014qla}.