Integration techniques for worldline integrals

Abstract

The worldline formalism allows one to obtain compact integral representations combining the information of large numbers of Feynman diagrams. However, their analytic calculation leads to a non-standard integration problem for which existing mathematical algorithms are of little help. Here I will summarize the state-of-the-art of worldline integration focusing on examples from QED in vacuum and in constant external fields.

13 pages, 3 figures, talk given by Christian Schubert at RADCOR2025, 5-10 October 2025, Puri, India