English

Hopf Algebras, Renormalization and Noncommutative Geometry

High Energy Physics - Theory 2009-10-31 v1 Operator Algebras Quantum Algebra

Abstract

We explore the relation between the Hopf algebra associated to the renormalization of QFT and the Hopf algebra associated to the NCG computations of transverse index theory for foliations.

Keywords

Cite

@article{arxiv.hep-th/9808042,
  title  = {Hopf Algebras, Renormalization and Noncommutative Geometry},
  author = {Alain Connes and Dirk Kreimer},
  journal= {arXiv preprint arXiv:hep-th/9808042},
  year   = {2009}
}

Comments

49 pages, Latex, 14 Fig's using epsf

R2 v1 2026-07-22T16:11:39.704Z