Feynman Diagrams in Algebraic Combinatorics

2002/12/09 by Abdelmalek Abdesselam, Abdesselam, Abdelmalek · 4 citations
Mathematics · #05A15 #81T18 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.math/0212121

openalex publication_date 2002/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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