Work

Worldline representation of multiloop amplitudes in quantum electrodynamics

Year: 2026

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2607.13321

Authors: Guzmán, Victor M. Banda, Müller, Uwe, Jacuinde, Cristofer Nava, Schubert, Christian, Tomas, Carlos J. Servin

Institutions: Brandenburg University of Applied Sciences, Universitätsklinikum Brandenburg an der Havel

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7169186239

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