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Vertex counting: Statistical distribution of vertices in large sets of tree diagrams

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Publication:1865029

DOI10.1140/EPJC/S2002-01102-6zbMATH Open1099.81538arXivhep-ph/0209155OpenAlexW2038907011MaRDI QIDQ1865029

Author name not available (Why is that?)

Publication date: 23 March 2003

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/hep-ph/0209155



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