论文标题
非亚伯仪理论中的红外发散和低能定理
Infrared Divergence and Low Energy Theorem in Non-Abelian Gauge Theory
论文作者
论文摘要
在论文中，首先回顾了QED中红外差异的取消。接下来，在QCD中的两个示例，夸克夸克散射和夸克 - 格鲁昂散射以一个循环进行检查，从中，沃德 - 塔卡哈西身份的重要性从中显现出来，取消发生。 QCD中的红外差异的分解在所有命令中都通过全部使用沃德 - 塔卡哈西身份证明。在这些证据中，使用轴向仪条件。 QCD中红外差异的取消发生在量规不变的图表中。以这种方式，在所有顺序上都证明了F. E. Low的低能定理，用于发射一两个软纤维。由此，得出了控制QCD中红外差异的微分方程。在QCD中，耦合恒定的重归其化引入了其他红外差异，该红外差异受纯Yang-Mills理论中的β-功能的控制。在2022年结论中，简要说明了最近翻译英文论文的动机。
In the thesis, first, the cancellation of infrared divergences in QED is reviewed. Next, two examples in QCD, the quark-quark scattering and the quark-gluon scattering are examined at one loop, from which the importance of Ward-Takahashi identities becomes manifest for the cancellation to occur. The factorization of infrared divergences in QCD is proved at all orders, by full usage of the Ward-Takahashi identities. In these proofs, the axial gauge condition is used. The cancellation of infrared divergences in QCD occurs among the gauge invariant set of graphs. In this way, the low energy theorem of F. E. Low, for emission of one or two soft gluons, are proved at all orders. From this, the differential equation controlling the infrared divergences in QCD is derived. In QCD, the coupling constant renormalization introduces the other infrared divergence, which is governed by the beta-function in the pure Yang-Mills theory. In the Epilogue 2022, a motivation for recently translating the thesis in English is briefly stated.
