Counting the number of Feynman Graphs in QCD
High Energy Physics - Phenomenology
2018-11-13 v3
Abstract
Information about the number of Feynman graphs for a given physical process in a given field theory is especially useful for confirming the result of a Feynman graph generator used in an automatic system of perturbative calculations. A method of counting the number of Feynman graphs with weight of symmetry factor was established based on zero-dimensional field theory, and was used in scalar theories and QED. In this article this method is generalized to more complicated models by direct calculation of generating functions on a symbolic calculating system. This method is applied to QCD with and without counter terms, where many higher order are being calculated automatically.
Keywords
Cite
@article{arxiv.1709.02067,
title = {Counting the number of Feynman Graphs in QCD},
author = {T. Kaneko},
journal= {arXiv preprint arXiv:1709.02067},
year = {2018}
}
Comments
23 pages, 1 figure