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Vertex Counting: Statistical Distribution of Vertices in Large Sets of Tree Diagrams

Petros Draggiotis·Ronald Kleiss
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Abstract

We study the problem of determining the distribution of vertices of a particular given type in the set of all Feynman tree graphs in quantum field theories. We show that in almost all cases a Gaussian distribution arises asymptotically, and we compute the mean and variance of this distribution for several theories. We show the distribution's `fine structure', arising from topological sum rules, can be obtained.

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Petros Draggiotis, Ronald Kleiss. 2002-09-13. Vertex Counting: Statistical Distribution of Vertices in Large Sets of Tree Diagrams. https://doi.org/10.1140/epjc%2Fs2002-01102-6

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