82 citations · 157 across the 4 of their papers we have counts for
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hep-th1999
Shuffling quantum field theory
Dirk Kreimer
We discuss shuffle identities between Feynman graphs using the Hopf algebra structure of perturbative quantum field theory. For concrete exposition, we discuss vertex function in m…
hep-th1999
Lessons from Quantum Field Theory - Hopf Algebras and Spacetime Geometries
A. Connes, D. Kreimer
We discuss the prominence of Hopf algebras in recent progress in Quantum Field Theory. In particular, we will consider the Hopf algebra of renormalization, whose antipode turned ou…
hep-th1999
Chen's Iterated Integral represents the Operator Product Expansion
Dirk Kreimer
The recently discovered formalism underlying renormalization theory, the Hopf algebra of rooted trees, allows to generalize Chen's lemma. In its generalized form it describes the c…