The Hopf algebra structure of multiple harmonic sums

2004/06/29 by Michael E. Hoffman · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Noncommutative and Quantum Gravity Theories #math-ph #math.MP #math.QA

paper · pdf · doi:10.1016/j.nuclphysbps.2004.09.050

published as Nuclear Physics B (Proc. Suppl.) 135 (2004), 215-219 · Talk for Loops & Legs in QFT, Zinnowitz, 2004

arxiv created 2004/06/29 · openalex publication_date 2004/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Multiple harmonic sums appear in the perturbative computation of various quantities of interest in quantum field theory. In this article we introduce a class of Hopf algebras that describe the structure of such sums, and develop some of their properties that can be exploited in calculations.

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