Hopf algebra of ribbon graphs and renormalization

Details Hopf algebra of ribbon graphs and renormalization Hopf algebra of ribbon graphs and renormalization

2001-12-17

arxiv.org/abs/hep-th/0112146v3

JHEP 0205 (2002) 013

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 9 figures, Latex; improved style

Scientific paper

10.1088/1126-6708/2002/05/013

Connes and Kreimer have discovered a Hopf algebra structure behind renormalization of Feynman integrals. We generalize the Hopf algebra to the case of ribbon graphs, i.e. to the case of theories with matrix fields. The Hopf algebra is naturally defined in terms of surfaces corresponding to ribbon graphs. As an example, we discuss renormalization of $\Phi^4$ theory and the 1/N expansion.

Affiliated with

Also associated with

No associations

Rating

Hopf algebra of ribbon graphs and renormalization 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 Hopf algebra of ribbon graphs and renormalization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopf algebra of ribbon graphs and renormalization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-261676