Feynman integrals at large loop order and the log-Γ distribution
A bstract We find empirically that the value of Feynman integrals follows a log-Γ distribution at large loop order. This result opens up a new avenue towards the large-order behavior in perturbative quantum field theory. Our study of the primitive contribution to the scalar ϕ 4 beta function in four dimensions up to 17 loops provides accompanying evidence. Guided by instanton considerations, we discuss the extrapolation of this contribution to all loop orders.
Authors
- Michael Borinsky (ORCID: https://orcid.org/0000-0002-0581-3276)
- Andrea Favorito
Institutions
- Perimeter Institute (CA)
- ETH Zurich (CH)
- Instituto de Física Teórica (ES)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-09-23
- DOI
- https://doi.org/10.1007/jhep09(2025)182
- Citations
- 1
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.87
Funders
- National Science Foundation
- Government of Canada
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Eidgenössische Technische Hochschule Zürich
- ETH Zürich Foundation
- Institut Périmètre de physique théorique
- Ministry of Colleges and Universities