Generalised Graph Laplacians and Canonical Feynman Integrals with Kinematics

Journal article

To any graph with external half-edges and internal masses, we associate canonical integrals which depend non-trivially on particle masses and momenta, and are always finite. They are generalised Feynman integrals which satisfy graphical relations obtained from contracting edges in graphs, and a coproduct involving both ultra-violet and infra-red subgraphs. Their integrands are defined by evaluating bi-invariant forms, which represent stable classes in the cohomology of the general linear group, on a generalised graph Laplacian matrix which depends on the external kinematics of a graph.

Authors: Brown, F

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Springer
• Journal: Communications in Mathematical Physics
• Volume: 405
• Issue: 2
• Article number: 41
• Publication date: 2024-02-09
• Acceptance date: 2023-11-22
• DOI: 10.1007/s00220-023-04879-3
• EISSN: 1432-0916
• ISSN: 0010-3616
• Language: English