On the symmetry foundation of double soft theorems

• Main Authors: Zhi-Zhong Li, 李志中
• Other Authors: Yu-Tin Huang
• Format: Others
• Language: en_US
• Published: 2019
• Online Access: http://ndltd.ncl.edu.tw/handle/v54s2j

碩士 === 國立臺灣大學 === 物理學研究所 === 107 === Double-­soft theorems, like its single-soft counterparts, arises from the underlying symmetry principles that constrain the interactions of massless particles. While single soft theorems can be derived in a non-­perturbative fashion by employing current algebras, recent attempts of extending such an approach to known double soft theorems has been met with difficulties. In this work, we have traced the difficulty to two inequivalent expansion schemes, depending on whether the soft limit is taken asymmetrically or symmetrically, which we denote as type A and B respectively. The soft-­behaviour for type A scheme can simply be derived from single soft theorems, and are thus non-­perturbatively protected. For type B, the information of the four­-point vertex is required to determine the corresponding soft theorems, and thus are in general not protected. This argument can be readily extended to general multi-­soft theorems. We also ask whether unitarity can be emergent from locality together with the two kinds of soft theorems, which has not been fully investigated before.