AI 中文总结
介绍量子电动力学世界线方法，回顾其用于多圈计算的长期努力，重点阐述标量QED中两圈真空极化的近期计算及主积分公式，为相关实际计算提供了新进展。
AI 中文摘要
量子电动力学的世界线方法能够构建整合大量费曼图的积分表示。本文回顾了为使这一方法用于实际多圈计算（如标量和旋量QED真空极化函数以及电子反常磁矩计算）所做长期努力的现状。在简短历史介绍和对相关非标准数学挑战讨论后，着重介绍了标量QED中两圈真空极化的近期计算及相关主积分公式。
英文摘要
The worldline approach to quantum electrodynamics allows one to construct integral representations combining large numbers of Feynman diagrams. Here I review the state-of-the-art of a long-term effort to make this fact useful for actual multiloop calculations, such as of the scalar and spinor QED vacuum polarization functions and the electron anomalous magnetic moment. After a short historical introduction, and a discussion of the non-standard mathematical challenges involved, I focus on a recent calculation of the two-loop vacuum polarisation in scalar QED and some master integral formulas obtained in this context.
Comments13 pages, 8 figures, talk given by Christian Schubert at Loops and Legs in Quantum Field Theory (LL2026), April 12-17, 2026, Bayreuth, Germany
