Algebraic Birkhoff decomposition and its applications

Details Algebraic Birkhoff decomposition and its applications Algebraic Birkhoff decomposition and its applications

2008-07-14

arxiv.org/abs/0807.2266v1

Mathematics

Rings and Algebras

39 pages. To appear in "Automorphic Forms and Langlands Program"

Scientific paper

Central in the Hopf algebra approach to the renormalization of perturbative quantum field theory of Connes and Kreimer is their Algebraic Birkhoff Decomposition. In this tutorial article, we introduce their decomposition and prove it by the Atkinson Factorization in Rota-Baxter algebra. We then give some applications of this decomposition in the study of divergent integrals and multiple zeta values.

Affiliated with

Also associated with

No associations

Rating

Algebraic Birkhoff decomposition and its applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Algebraic Birkhoff decomposition and its applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic Birkhoff decomposition and its applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-595552