137 citations · 137 across the 1 of their papers we have counts for
4 papers
Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality
D. J. Broadhurst, D. Kreimer
The Hopf algebra of undecorated rooted trees has tamed the combinatorics of perturbative contributions, to anomalous dimensions in Yukawa theory and scalar theory, from all n…
Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees
D. J. Broadhurst, D. Kreimer
The renormalization of quantum field theory twists the antipode of a noncocommutative Hopf algebra of rooted trees, decorated by an infinite set of primitive divergences. The Hopf…
Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Pade-Borel resummation
D. J. Broadhurst, D. Kreimer
It is easy to sum chain-free self-energy rainbows, to obtain contributions to anomalous dimensions. It is also easy to resum rainbow-free self-energy chains. Taming the combinatori…
Feynman diagrams as a weight system: four-loop test of a four-term relation
D. J. Broadhurst, D. Kreimer
At four loops there first occurs a test of the four-term relation derived by the second author in the course of investigating whether counterterms from subdivergence-free diagrams…