Sums over Graphs and Integration over Discrete Groupoids
Category Theory
2013-09-30 v4 Mathematical Physics
Combinatorics
math.MP
Abstract
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.
Cite
@article{arxiv.math/0211389,
title = {Sums over Graphs and Integration over Discrete Groupoids},
author = {Domenico Fiorenza},
journal= {arXiv preprint arXiv:math/0211389},
year = {2013}
}
Comments
27 pages, 4 eps figures; LaTeX2e; uses Xy-Pic. Some ambiguities fixed, and several proofs simplified