标题： 世界线证明的eikonal指数化 显示英文标题

标题： Worldline Proof of Eikonal Exponentiation

摘要： 在本文中，在射线近似下，我们给出了一个证明，证明两体射线相位在{\it 所有在晕轮展开中的阶数}的指数化，对于通过电磁或引力相互作用的标量粒子。 该证明基于世界线形式主义，这是一种替代标准量子场论计算散射振幅的方法。 我们表明，在世界线形式主义中，以碰撞参数空间表示的两体散射振幅在每一圈阶次自然地因子分解。 这种因子分解导致了射线相位的指数化，这一结果在Mogull、Plefka和Steinhoff的工作[2010.02865 [hep-th]]中已被预期。 显示英文摘要

摘要： In this paper, working in the eikonal approximation, we present a proof for the exponentiation of the 2-body eikonal phase to {\it all orders in the eikonal expansion}, for scalar particles interacting electromagnetically or gravitationally. The proof is based on the worldline formalism, which is an alternative, first quantized method to the standard QFT calculation of the scattering amplitude. We show that in the worldline formalism the 2-body scattering amplitude written in impact parameter space naturally factorizes at each loop order. This factorization is responsible for the exponentiation of the eikonal phase, a result which was anticipated in the work of Mogull, Plefka, and Steinhoff [2010.02865 [hep-th]].