Vertex Counting: Statistical Distribution of Vertices in Large Sets of Tree Diagrams
High Energy Physics - Phenomenology
2011-09-13 v1
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.
Keywords
Cite
@article{arxiv.hep-ph/0209155,
title = {Vertex Counting: Statistical Distribution of Vertices in Large Sets of Tree Diagrams},
author = {Petros Draggiotis and Ronald Kleiss},
journal= {arXiv preprint arXiv:hep-ph/0209155},
year = {2011}
}
Comments
17 pages, 6 figures