Integration techniques for worldline integrals

Fuente: arXiv
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Main Authors: Guzman, Victor M. Banda, Edwards, James P., Zamora, C. Moctezuma Mata, Chacon, Luis A. Rodriguez, Schubert, Christian
Format: Preprint
Published: 2026
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author Guzman, Victor M. Banda
Edwards, James P.
Zamora, C. Moctezuma Mata
Chacon, Luis A. Rodriguez
Schubert, Christian
author_facet Guzman, Victor M. Banda
Edwards, James P.
Zamora, C. Moctezuma Mata
Chacon, Luis A. Rodriguez
Schubert, Christian
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_18442
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Integration techniques for worldline integrals
Guzman, Victor M. Banda
Edwards, James P.
Zamora, C. Moctezuma Mata
Chacon, Luis A. Rodriguez
Schubert, Christian
High Energy Physics - Theory
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.
title Integration techniques for worldline integrals
topic High Energy Physics - Theory
url https://arxiv.org/abs/2603.18442