English

Using the Hopf Algebra Structure of QFT in Calculations

High Energy Physics - Theory 2016-09-06 v3

Abstract

We employ the recently discovered Hopf algebra structure underlying perturbative Quantum Field Theory to derive iterated integral representations for Feynman diagrams. We give two applications: to massless Yukawa theory and quantum electrodynamics in four dimensions.

Keywords

Cite

@article{arxiv.hep-th/9903249,
  title  = {Using the Hopf Algebra Structure of QFT in Calculations},
  author = {D. Kreimer and R. Delbourgo},
  journal= {arXiv preprint arXiv:hep-th/9903249},
  year   = {2016}
}

Comments

28 p, Revtex, epsf for figures, minor changes, to appear in Phys.Rev.D