论文标题
QED是世界上的多体理论：I。一般形式主义和红外结构
QED as a many-body theory of worldlines: I. General formalism and infrared structure
论文作者
论文摘要
我们讨论了QED的重新制定，在该QED中，物质和量规场明确整合了，从而导致了0+1维世界线的多体Lorentz协变理论，描述了通过Lorentz部队相互作用的旋转电荷的超级对。这为所有循环订单提供了强大的，灵感的启发振幅定义。特别是，人们获得了威尔逊循环和线条的更一般的公式，具有指定的动态场和旋转进puss的贡献，以及通过首先量化的路径积分精确定义的全球轮廓平均值。我们详细讨论了这种形式主义的吸引人特征，以进行高阶扰动计算。我们表明，在扰动理论中的所有循环订单中，全世界的S-矩阵元素可以构造为明显没有柔软的奇异性，而无需（IR）差异（IR）差异通过无限端的端点光子交换来捕获和取消，这些交换等同于dyson s-Matrix fysed fy fiesss-matrix firefish和kulish和kul kuldddddddddddddddddddddddddddddddddedeev and Kuldddddddddddddddddddddddedeev and Kuldddddddddddddddddddedeev and kul kulish and。我们讨论了这些IR结构，并与软定理，IR差异的Abelian凸起和尖端异常尺寸建立联系。后续论文将讨论尖端异常维度和软定理的通用特征的有效计算。
We discuss a reformulation of QED in which matter and gauge fields are integrated out explicitly, resulting in a many-body Lorentz covariant theory of 0+1 dimensional worldlines describing super-pairs of spinning charges interacting through Lorentz forces. This provides a powerful, string inspired definition of amplitudes to all loop orders. In particular, one obtains a more general formulation of Wilson loops and lines, with exponentiated dynamical fields and spin precession contributions, and worldline contour averages exactly defined through first quantized path integrals. We discuss in detail the attractive features of this formalism for high order perturbative computations. We show that worldline S-matrix elements, to all loop orders in perturbation theory, can be constructed to be manifestly free of soft singularities, with infrared (IR) divergences captured and removed by endpoint photon exchanges at infinity that are equivalent to the soft coherent dressings of the Dyson S-matrix proposed by Faddeev and Kulish. We discuss these IR structures and make connections with soft theorems, the Abelian exponentiation of IR divergences and cusp anomalous dimensions. Follow-up papers will discuss the efficient computation of cusp anomalous dimensions and universal features of soft theorems.
