Sums over Graphs and Integration over Discrete Groupoids

Details Sums over Graphs and Integration over Discrete Groupoids Sums over Graphs and Integration over Discrete Groupoids

2002-11-25

arxiv.org/abs/math/0211389v4

Applied Categorical Structures, Vol. 14, No. 4 (2006), 313-350.

Mathematics

Category Theory

27 pages, 4 eps figures; LaTeX2e; uses Xy-Pic. Some ambiguities fixed, and several proofs simplified

Scientific paper

10.1007/s10485-006-9033-8

We show that sums over graphs such as appear in the theory of Feynman
diagrams can be seen as integrals over discrete groupoids. From this point of
view, basic combinatorial formulas of the theory of Feynman diagrams can be
interpreted as pull-back or push-forward formulas for integrals over suitable
groupoids.

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