Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
KEK Theory Center, IPNS, KEK, Tsukuba, Ibaraki 305-0801, Japan.
Phys Rev Lett. 2018 May 18;120(20):201601. doi: 10.1103/PhysRevLett.120.201601.
We show that the soft photon, gluon, and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity. We found infinitely many new identities which constrain the higher order soft behavior of the gauge bosons and gravitons in scattering amplitudes of gauge and gravity theories. Diagrammatic representations of these soft theorems are presented.
我们表明，软光子、胶子和引力子定理可以被理解为大规范变换的沃德-塔卡哈什恒等式，即不会在空间无穷远处消失的微分同胚。我们发现了无穷多个新的恒等式，这些恒等式限制了规范和引力理论散射振幅中规范玻色子和引力子的高阶软行为。这些软定理的图表表示也被给出了。
