标题： 平面波背景中$N$光子树图振幅的主公式 显示英文标题

标题： Master Formulae for $N$-photon tree level amplitudes in plane wave backgrounds

摘要： 强电磁场的存在使QED费曼图变得极其复杂，因此需要新的方法来计算高环和高多重性散射振幅。 在这里，我们使用世界线形式来呈现所有树级振幅的“主公式”，包括两个带质量粒子和任意数量光子在平面波背景下的情况，在标量和旋量QED中均适用。 平面波在整个过程中未做近似处理，这意味着我们的公式适用于当前理论和实验感兴趣的强场区域。 我们将结果与可通过直接费曼图计算得到的低多重性文献表达式进行了核对。 显示英文摘要

摘要： The presence of strong electromagnetic fields adds huge complexity to QED Feynman diagrams, such that new methods are required to calculate higher-loop and higher-multiplicity scattering amplitudes. Here we use the worldline formalism to present `Master Formulae' for all tree level amplitudes of two massive particles and an arbitrary number of photons, in a plane wave background, in both scalar and spinor QED. The plane wave is treated without approximation throughout, meaning in particular that our formulae are valid in the strong-field regime of current theoretical and experimental interest. We check our results against literature expressions obtainable at low multiplicity via direct Feynman diagram calculations.