The Hopf algebra structure of multiple harmonic sums

Details The Hopf algebra structure of multiple harmonic sums The Hopf algebra structure of multiple harmonic sums

2004-06-29

arxiv.org/abs/math/0406589v1

Nuclear Physics B (Proc. Suppl.) 135 (2004), 215-219

Mathematics

Quantum Algebra

Talk for Loops & Legs in QFT, Zinnowitz, 2004

Scientific paper

10.1016/j.nuclphysbps.2004.09.05

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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