Sums over Graphs and Integration over Discrete Groupoids
范畴论
2013-09-30 v4 数学物理
组合数学
math.MP
摘要
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.
引用
@article{arxiv.math/0211389,
title = {Sums over Graphs and Integration over Discrete Groupoids},
author = {Domenico Fiorenza},
journal= {arXiv preprint arXiv:math/0211389},
year = {2013}
}
备注
27 pages, 4 eps figures; LaTeX2e; uses Xy-Pic. Some ambiguities fixed, and several proofs simplified