World Graph Formalism for Feynman Amplitudes
arXiv:0704.3392 · doi:10.1088/1126-6708/2008/09/022
Abstract
A unified treatment of Schwinger parametrised Feynman amplitudes is suggested which addresses vertices of arbitrary order on the same footing as propagators. Contributions from distinct diagrams are organised collectively. The scheme is based on the continuous graph Laplacian. The analogy to a classical statistical diffusion system of vector charges on the graph is explored.
35 pages, 7 figures. Added DFG project details. Added further comments on some topics; omitted some well-known material. v4: Added a citation; shortened some passages