Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory

Details Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory

2006-04-17

arxiv.org/abs/hep-th/0604116v2

FieldsInst.Commun.50:47-105,2007

Physics

High Energy Physics

High Energy Physics - Theory

improved version, based on a talk given at the workshop Renormalization and Universality in Mathematical Physics held at the F

Scientific paper

Recently, the theory of renormalization in perturbative quantum field theory underwent some exciting new developments. Kreimer discovered an organization of Feynman graphs into combinatorial Hopf algebras. The process of renormalization is captured by a factorization theorem for regularized Hopf algebra characters. In this context the notion of Rota-Baxter algebras enters the scene. We review several aspects of Rota-Baxter algebras as they appear in other sectors also relevant to perturbative renormalization, for instance multiple-zeta-values and matrix differential equations.

Affiliated with

Also associated with

No associations

Rating

Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory 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 Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-483316