Differential Algebraic Birkhoff Decomposition and the renormalization of multiple zeta values

Li Guo, Bin Zhang

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In the Hopf algebra approach of Connes and Kreimer on renormalization of quantum field theory, the renormalization process is viewed 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.

Original languageEnglish (US)
Pages (from-to)2318-2339
Number of pages22
JournalJournal of Number Theory
Volume128
Issue number8
DOIs
StatePublished - Aug 2008

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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