Feynman Diagrams in Algebraic Combinatorics
Combinatorics
2009-09-29 v1 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show, in great detail, how the perturbative tools of quantum field theory allow one to rigorously obtain: a ``categorified'' Faa di Bruno type formula for multiple composition, an explicit formula for reversion and a proof of Lagrange-Good inversion, all in the setting of multivariable power series. We took great pains to offer a self-contained presentation that, we hope, will provide any mathematician who wishes, an easy access to the wonderland of quantum field theory.
Keywords
Cite
@article{arxiv.math/0212121,
title = {Feynman Diagrams in Algebraic Combinatorics},
author = {Abdelmalek Abdesselam},
journal= {arXiv preprint arXiv:math/0212121},
year = {2009}
}
Comments
13 diagrams