826 citations · 3.9k across the 91 of their papers we have counts for
94 papers
Bananas: multi-edge graphs and their Feynman integrals
Dirk Kreimer
We consider multi-edge or banana graphs on internal edges with different masses . We focus on the cut banana graphs from which the full result…
Algebraic Interplay between Renormalization and Monodromy
Dirk Kreimer, Karen Yeats
We investigate combinatorial and algebraic aspects of the interplay between renormalization and monodromies for Feynman amplitudes. We clarify how extraction of subgraphs from a Fe…
Outer Space as a combinatorial backbone for Cutkosky rules and coactions
Dirk Kreimer
We consider a coaction which exists for any bridge-free graph. It is based on the cubical chain complex associated to any such graph by considering two boundary operations: shrinki…
Graph complexes and Feynman rules
Marko Berghoff, Dirk Kreimer
We investigate Feynman graphs and their Feynman rules from the viewpoint of graph complexes. We focus on graph homology and on the appearance of cubical complexes when either reduc…
On the self-consistency of off-shell Slavnov-Taylor identities in QCD
J. A. Gracey, H. Kissler, D. Kreimer
Using Hopf-algebraic structures as well as diagrammatic techniques for determining the Slavnov-Taylor identities for QCD we construct the relations for the triple and quartic gluon…
Multi-valued Feynman Graphs and Scattering Theory
Dirk Kreimer
We outline ideas to connect the analytic structure of Feynman amplitudes to the structure of Karen Vogtmann's {\em Outer Space}. We focus on the role of cubical chain complexes in…