Hang Yan-Feng, He Hong-Jian, Shen Cong
Tsung-Dao Lee Institute and School of Physics and Astronomy, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, Shanghai Jiao Tong University, Shanghai, China.
Department of Physics and Institute of Modern Physics, Tsinghua University, Beijing, China.
Research (Wash D C). 2023 Mar 17;6:0072. doi: 10.34133/research.0072. eCollection 2023.
We study the mechanism of topological mass generation for 3-dimensional Chern-Simons gauge theories and propose a brand-new topological equivalence theorem to connect scattering amplitudes of the physical gauge boson states to that of the transverse states under high-energy expansion. We prove a general energy cancelation mechanism for -point physical gauge boson amplitudes, which predicts large cancelations of → at any -loop level ( ⩾ 0). We extend the double-copy approach to construct massive graviton amplitudes and to study their structures. We newly uncovered a series of strikingly large energy cancelations → of the tree-level 4-graviton scattering amplitude under high-energy expansion and establish a new correspondence between the 2 energy cancelations in the topologically massive Yang-Mills gauge theory and the topologically massive gravity theory. We further study the scattering amplitudes of Chern-Simons gauge bosons and gravitons in the nonrelativistic limit.
我们研究三维陈 - 西蒙斯规范理论中拓扑质量产生的机制，并提出一个全新的拓扑等价定理，以在高能展开下将物理规范玻色子态的散射振幅与横向态的散射振幅联系起来。我们证明了 - 点物理规范玻色子振幅的一般能量抵消机制，该机制预测在任何 - 圈级（⩾ 0）下 → 会有大量抵消。我们扩展双拷贝方法来构建有质量引力子振幅并研究其结构。我们新发现了在高能展开下树级 4 - 引力子散射振幅的一系列显著的大能量抵消 → ，并在拓扑质量杨 - 米尔斯规范理论和拓扑质量引力理论中的两种能量抵消之间建立了新的对应关系。我们进一步研究陈 - 西蒙斯规范玻色子和引力子在非相对论极限下的散射振幅。
