Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees

Details Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees

2009-09-17

arxiv.org/abs/0909.3262v1

Physics

Mathematical Physics

25 Pages

Scientific paper

In this paper we are going to find a rooted tree representation from universal Hopf algebra of renormalization (in Connes-Marcolli's approach in the study of renormalizable Quantum Field Theories under the scheme minimal subtraction in dimensional regularization). With attention to this new picture, interesting relations between this specific Hopf algebra and some important Hopf algebras of rooted trees and also Hopf algebra of (quasi-) symmetric functions are obtained. And moreover a new interpretation from universal singular frame, based on Hall rooted trees, is deduced such that it can be applied to the physical information of a renormalizable theory such as counterterms.

Affiliated with

Also associated with

No associations

Rating

Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees 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 Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-391417