Cheung Clifford, Shen Chia-Hsien
Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.
Phys Rev Lett. 2017 Mar 24;118(12):121601. doi: 10.1103/PhysRevLett.118.121601. Epub 2017 Mar 23.
We propose a new representation of the nonlinear sigma model that exhibits a manifest duality between flavor and kinematics. The fields couple exclusively through cubic Feynman vertices which define the structure constants of an underlying kinematic algebra. The action is invariant under a combination of internal and spacetime symmetries whose conservation equations imply flavor-kinematics duality, ensuring that all Feynman diagrams satisfy kinematic Jacobi identities. Substituting flavor for kinematics, we derive a new cubic action for the special Galileon theory. In this picture, the vanishing soft behavior of amplitudes is a by-product of the Weinberg soft theorem.
我们提出了非线性西格玛模型的一种新表示形式，它展现出味与运动学之间明显的对偶性。场仅通过三次费曼顶点相互耦合，这些顶点定义了一个基础运动学代数的结构常数。该作用量在内部对称性和时空对称性的组合下是不变的，其守恒方程意味着味 - 运动学对偶性，确保所有费曼图都满足运动学雅可比恒等式。用味替换运动学，我们推导出了特殊伽利略子理论的一个新的三次作用量。在此图景中，振幅的零软行为是温伯格软定理的一个副产品。
