论文标题
在强烈互动中没有$ cp $违规
Absence of $CP$ violation in the strong interactions
论文作者
论文摘要
我们得出在存在一般真空角的情况下具有复杂质量的大量费米子的相关函数。为此，我们首先在一个in-instanton的背景中构建绿色的功能，然后汇总背景Instantons的配置。拓扑扇区的量化遵循无限时空量的有限欧几里德作用的鞍点以及有关这些作用的波动。因此，对于所得的相关函数，我们在拓扑扇区总结之前采取无限体积限制。与限制的相反顺序相反，从质量项和intsanton效应中的手性阶段是对齐的，因此，在没有其他阶段的情况下，这些阶段不会引起违反电荷 - 平衡对称性的观察力。当使用索引定理而不是intsanton conculus来限制在重合点处的相关性时，可以确认此结果。
We derive correlation functions for massive fermions with a complex mass in the presence of a general vacuum angle. For this purpose, we first build the Green's functions in the one-instanton background and then sum over the configurations of background instantons. The quantization of topological sectors follows for saddle points of finite Euclidean action in an infinite spacetime volume and the fluctuations about these. For the resulting correlation functions, we therefore take the infinite-volume limit before summing over topological sectors. In contrast to the opposite order of limits, the chiral phases from the mass terms and from the instanton effects then are aligned so that, in absence of additional phases, these do not give rise to observables violating charge-parity symmetry. This result is confirmed when constraining the correlations at coincident points by using the index theorem instead of instanton calculus.
