Using the Hopf Algebra Structure of QFT in Calculations

TL;DR

This paper leverages the Hopf algebra structure of perturbative Quantum Field Theory to derive integral representations for Feynman diagrams, with applications to massless Yukawa theory and QED.

Contribution

It introduces a novel application of Hopf algebra structures to derive integral representations for Feynman diagrams in specific quantum field theories.

Findings

Derived iterated integral representations for Feynman diagrams

Applied methods to massless Yukawa theory and QED

Showed the utility of Hopf algebra in QFT calculations

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.