Generating loop graphs via Hopf algebra in quantum field theory
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
Combinatorics
math.MP
Abstract
We use the Hopf algebra structure of the time-ordered algebra of field operators to generate all connected weighted Feynman graphs in a recursive and efficient manner. The algebraic representation of the graphs is such that they can be evaluated directly as contributions to the connected n-point functions. The recursion proceeds by loop order and vertex number.
Cite
@article{arxiv.math-ph/0607036,
title = {Generating loop graphs via Hopf algebra in quantum field theory},
author = {Angela Mestre and Robert Oeckl},
journal= {arXiv preprint arXiv:math-ph/0607036},
year = {2008}
}
Comments
22 pages, LaTeX + AMS + eepic; new section with alternative recursion formula added, further minor changes and corrections