English

Differential Birkhoff decomposition and the renormalization of multiple zeta values

Number Theory 2008-07-04 v1 Combinatorics Rings and Algebras

Abstract

In the Hopf algebra approach of Connes and Kreimer on renormalization of quantum field theory, the renormalization process is views as a special case of the Algebraic Birkhoff Decomposition. We give a differential algebra variation of this decomposition and apply this to the study of multiple zeta values.

Keywords

Cite

@article{arxiv.0710.0432,
  title  = {Differential Birkhoff decomposition and the renormalization of multiple zeta values},
  author = {Li Guo and Bin Zhang},
  journal= {arXiv preprint arXiv:0710.0432},
  year   = {2008}
}

Comments

20 pages

R2 v1 2026-06-21T09:25:01.620Z