论文标题
Goldilocks模式和三个散射基础
Goldilocks Modes and the Three Scattering Bases
论文作者
论文摘要
我们从位置，动量和天基碱的角度考虑无质量的散射。在这三种语言中，物理过程的不同属性变得明显或被遮盖。在软部门内，它们突出了红外三角的不同方面：量子场理论软定理出现在消失的能源$ω$的限制下，通过沿Null Time Corigation $ u $的边界的轮班来描述记忆效应，并且通过在特殊价值的coldermental of coldenmensal dimensure $ dimensure dimensure dimemension $Δ$Δ实现的null Time Corigant $ u $，并且天体对称代数。我们专注于$δ= 1-S $的转向柔软定理，用于量规理论$（s = 1）$和重力$（s = 2）$，并探索如何将红外三角形转换为天体基础。我们解决了在位置中所检查的拟议的重叠量规变换与“戈德石”模式之间的现有张力，我们期望天体对称发电机出现。在此过程中，我们阐明了天体形式中隐含的各种禁区问题。然后，我们将构造概括为$ w_ {1+ \ infty} $发电机的塔楼，该塔是CET的CFT，该塔进一步探测了$ω$软性行为，并且与测量较高散射剂多重多极矩的supleading-$ r $ r $真空过渡有关。最后，我们看到天体基础是识别对称结构的“正当”。
We consider massless scattering from the point of view of the position, momentum, and celestial bases. In these three languages different properties of physical processes become manifest or obscured. Within the soft sector, they highlight distinct aspects of the infrared triangle: quantum field theory soft theorems arise in the limit of vanishing energy $ω$, memory effects are described via shifts of fields at the boundary along the null time coordinate $u$, and celestial symmetry algebras are realized via currents that appear at special values of the conformal dimension $Δ$. We focus on the subleading soft theorems at $Δ=1-s$ for gauge theory $(s=1)$ and gravity $(s=2)$ and explore how to translate the infrared triangle to the celestial basis. We resolve an existing tension between proposed overleading gauge transformations as examined in the position basis and the `Goldstone-like' modes where we expect celestial symmetry generators to appear. In the process we elucidate various order-of-limits issues implicit in the celestial formalism. We then generalize our construction to the tower of $w_{1+\infty}$ generators in celestial CFT, which probe further subleading-in-$ω$ soft behavior and are related to subleading-in-$r$ vacuum transitions that measure higher multipole moments of scatterers. In the end we see that the celestial basis is `just right' for identifying the symmetry structure.
