English

Renormalization of QED with planar binary trees

High Energy Physics - Theory 2010-09-17 v1

Abstract

The renormalized photon and electron propagators are expanded over planar binary trees. Explicit recurrence solutions are given for the terms of these expansions. In the case of massless Quantum Electrodynamics (QED), the relation between renormalized and bare expansions is given in terms of a Hopf algebra structure. For massive quenched QED, the relation between renormalized and bare expansions is given explicitly.

Keywords

Cite

@article{arxiv.hep-th/0003202,
  title  = {Renormalization of QED with planar binary trees},
  author = {Christian Brouder and Alessandra Frabetti},
  journal= {arXiv preprint arXiv:hep-th/0003202},
  year   = {2010}
}

Comments

Uses feynmf package. 20 pages