paper

The Hopf algebra structure of multiple harmonic sums

arXiv:math/0406589 · doi:10.1016/j.nuclphysbps.2004.09.050

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.

Talk for Loops & Legs in QFT, Zinnowitz, 2004

The Hopf algebra structure of multiple harmonic sums · wovepaper