Combinatorics of n-point functions via Hopf algebra in quantum field theory
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
Combinatorics
math.MP
Abstract
We use a coproduct on the time-ordered algebra of field operators to derive simple relations between complete, connected and 1-particle irreducible n-point functions. Compared to traditional functional methods our approach is much more intrinsic and leads to efficient algorithms suitable for concrete computations. It may also be used to efficiently perform tree level computations.
Keywords
Cite
@article{arxiv.math-ph/0505066,
title = {Combinatorics of n-point functions via Hopf algebra in quantum field theory},
author = {Angela Mestre and Robert Oeckl},
journal= {arXiv preprint arXiv:math-ph/0505066},
year = {2007}
}
Comments
26 pages, LaTeX + AMS + eepic; minor corrections and modifications