论文标题
非亚伯仪理论中拓扑费的不可观念：病房 - 塔卡哈西的身份和现象学方面
Unobservability of the topological charge in nonabelian gauge theory: Ward-Takahashi identity and phenomenological aspects
论文作者
论文摘要
我们认为，非亚伯仪表理论的拓扑指控是非物理的。为了展示这一说法，我们使用了Adler-Bardeen定理和Becchi-Rouet-stora-tyutin对称性，这些对称是由手性异常的扰动有限性所保证的，因此没有Gribov歧义。除了使用非物理量规场分量共线的原始参数与仪表函数的空间导数相线外，我们还显示了使用Ward-Takahashi身份的拓扑电荷的不可观念性。然后，我们介绍了这一发现的后果，并展示了围绕非亚伯仪理论拓扑的许多物理图片和思想的一致性。最重要的是解决强大的CP问题，拓扑instantons的不可观念，轴向$ u（1）$对称性的物理相关性，真空能量对真空角度的独立性以及实现Sphaleron诱导的baryogeneseration和Chiral磁效应的不可能。轴向$ u（1）$对称性和非物理$θ$ - 术语暗示Cabibbo-Kobayashi-Maskawa矩阵的物理复杂阶段是标准模型中CP违规的唯一来源。非物理的Sphaleron还意味着，Lepton的数字在现象学上是没有巴里昂数字的，并且它们的违规行为可以单独建模。我们还评论与晶格计算结果的一致性。
We argue that the topological charge of nonabelian gauge theory is unphysical. To show this statement, we use the Adler-Bardeen theorem and the Becchi-Rouet-Stora-Tyutin symmetry which are warranted by the perturbative finiteness of the chiral anomaly, thus being free of Gribov ambiguity. In addition to the original argument using the unphysical gauge field component collinear to the spatial derivative of the gauge function, we show the unobservability of the topological charge using the Ward-Takahashi identity. We then present the consequences of this finding and show the consistency with many physical pictures and ideas that have been developed around the topology of nonabelian gauge theory. The most important ones are the resolution of the Strong CP problem, the unobservability of topological instantons, the physical relevance of the axial $U(1)$ symmetry, the independence of the vacuum energy on the vacuum angle, and the impossibility to realize the sphaleron induced baryogenesis and chiral magnetic effects. The axial $U(1)$ symmetry and the unphysical $θ$-term imply that the physical complex phase of the Cabibbo-Kobayashi-Maskawa matrix is the sole source of CP violation in the standard model. The unphysical sphaleron also means that the lepton number is phenomenologically free from the baryon number, and their violations may be modeled separately. We also comment on the consistency with the results of lattice calculations.
