标题： 拓扑等价定理和陈-西蒙斯散射振幅的双拷贝 显示英文标题

标题： Topological Equivalence Theorem and Double-Copy for Chern-Simons Scattering Amplitudes

摘要： 我们研究了三维Chern-Simons规范理论的拓扑质量生成机制，并提出了一种全新的拓扑等价定理，用于连接物理规范玻色子态的散射振幅与横向态的散射振幅（在高能展开下）。 我们证明了$N$-点物理规范玻色子振幅的一个普遍的能量抵消机制，该机制预测了在任意$L$-圈水平（$L\geqslant 0$）上$E^{4-L}\to E^{(4-L)- N}$的大抵消。 我们将双拷贝方法扩展到构造有质量引力子振幅，并研究它们的结构。 我们在高能展开下首次揭示了树级四引力子散射振幅的一系列令人震惊的大能量抵消$E^{12}\to E^1$，并建立了拓扑质量Yang-Mills规范理论和拓扑质量引力理论中两种能量抵消之间的一种新对应关系。 我们进一步研究了非相对论极限下Chern-Simons规范玻色子和引力子的散射振幅。 显示英文摘要

摘要： We study the mechanism of topological mass-generation for 3d 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 cancellation mechanism for $N$-point physical gauge boson amplitudes, which predicts large cancellations of $E^{4-L}\to E^{(4-L)- N}$ at any $L$-loop level ($L\geqslant 0$). We extend the double-copy approach to construct massive graviton amplitudes and study their structures. We newly uncover a series of strikingly large energy cancellations $E^{12}\to E^1$ of the tree-level four-graviton scattering amplitude under high energy expansion and establish a new correspondence between the two energy cancellations 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.