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.
Sums over graphs and integration over discrete groupoids / Fiorenza, Domenico. - In: APPLIED CATEGORICAL STRUCTURES. - ISSN 0927-2852. - 14:4(2006), pp. 313-350. [10.1007/s10485-006-9033-8]
Sums over graphs and integration over discrete groupoids
FIORENZA, DOMENICO
2006
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.File allegati a questo prodotto
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