39 citations · 39 across the 1 of their papers we have counts for
3 papers
hep-th2020★ 39 cited
Non-Perturbative Completion of Hopf-Algebraic Dyson-Schwinger Equations
Michael Borinsky, Gerald V. Dunne
For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary different…
hep-th2020
The Hopf algebra structure of the -operation
Robert Beekveldt, Michael Borinsky, Franz Herzog
We give a Hopf-algebraic formulation of the -operation, which is a canonical way to render UV and IR divergent Euclidean Feynman diagrams finite. Our analysis uncovers a close…
hep-th2018
Graphs in perturbation theory: Algebraic structure and asymptotics
Michael Borinsky
This thesis provides an extension of the work of Dirk Kreimer and Alain Connes on the Hopf algebra structure of Feynman graphs and renormalization to general graphs. Additionally,…