论文标题
新的渐近保护法
New Asymptotic Conservation laws for Electromagnetism
论文作者
论文摘要
由于带电物体的一般散射，我们在较晚的电磁辐射场中获得了对记忆项的转向尾部。我们表明，存在一项新的渐近保护法，该法律与转向尾的术语有关。相应的电荷是由渐近电磁场的一种模式制成的，该模式出现在$ \ Mathcal {o}（e^5）$中，我们希望在较高的订单下未纠正它。这暗示着二线尾部是由2循环软光子定理的经典极限引起的。建立在$ m = 1 $ \ cite {1903.09133，1912.10229}和$ m = 2 $的情况下，我们建议每个$ m $都有一项保护法，以使各个费用涉及$ \ nathcal {o}（e^{2m+1}）$模式和确切保存。这将意味着无限数量的$ M $ loop软定理的层次结构。我们还预测了$ m^{th} $顺序的尾巴的结构，该结构与这些软定理的经典限制相关的内存项。
We obtain the subleading tail to the memory term in the late time electromagnetic radiative field generated due to a generic scattering of charged bodies. We show that there exists a new asymptotic conservation law which is related to the subleading tail term. The corresponding charge is made of a mode of the asymptotic electromagnetic field that appears at $\mathcal{O}(e^5)$ and we expect that it is uncorrected at higher orders. This hints that the subleading tail arises from classical limit of a 2-loop soft photon theorem. Building on the $m=1$ \cite{1903.09133, 1912.10229} and $m=2$ cases, we propose that there exists a conservation law for every $m$ such that the respective charge involves an $\mathcal{O}(e^{2m+1})$ mode and is conserved exactly. This would imply a hierarchy of an infinite number of $m$-loop soft theorems. We also predict the structure of $m^{th}$ order tails to the memory term that are tied to the classical limit of these soft theorems.
