Hopf algebras and the combinatorics of connected graphs in quantum field theory
Mathematical Physics
2018-01-24 v2 High Energy Physics - Theory
math.MP
Abstract
In this talk, we are concerned with the formulation and understanding of the combinatorics of time-ordered n-point functions in terms of the Hopf algebra of field operators. Mathematically, this problem can be formulated as one in combinatorics or graph theory. It consists in finding a recursive algorithm that generates all connected graphs in their Hopf algebraic representation. This representation can be used directly and efficiently in evaluating Feynman graphs as contributions to the n-point functions.
Keywords
Cite
@article{arxiv.0808.1070,
title = {Hopf algebras and the combinatorics of connected graphs in quantum field theory},
author = {Angela Mestre and Robert Oeckl},
journal= {arXiv preprint arXiv:0808.1070},
year = {2018}
}
Comments
10 pages, 2 figures, LaTeX + AMS + eepic; to appear in the proceedings of the Conference on Combinatorics and Physics, MPIM Bonn, March 19-23, 2007