English

The Hopf algebra structure of multiple harmonic sums

Quantum Algebra 2007-05-23 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0406589,
  title  = {The Hopf algebra structure of multiple harmonic sums},
  author = {Michael E. Hoffman},
  journal= {arXiv preprint arXiv:math/0406589},
  year   = {2007}
}

Comments

Talk for Loops & Legs in QFT, Zinnowitz, 2004

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