Multi-valued Feynman Graphs and Scattering Theory
Dirk Kreimer
TL;DR
This paper explores the connection between the analytic structure of Feynman amplitudes and the geometric structure of Outer Space, using cubical chain complexes and examining the bordification problem in specific graph examples.
Contribution
It introduces a novel approach linking Feynman graph analysis with geometric structures like Outer Space and cubical complexes, providing new insights into their analytic and topological properties.
Findings
Established a connection between Feynman amplitudes and Outer Space
Analyzed the role of cubical chain complexes in this context
Investigated the bordification problem for a specific graph example
Abstract
We outline ideas to connect the analytic structure of Feynman amplitudes to the structure of Karen Vogtmann's {\em Outer Space}. We focus on the role of cubical chain complexes in this context, and also investigate the bordification problem in the example of the 3-edge banana graph.
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