82 citations · 157 across the 4 of their papers we have counts for
8 papers · 1 filter
Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology
Christoph Bergbauer, Dirk Kreimer
In this review we discuss the relevance of the Hochschild cohomology of renormalization Hopf algebras for local quantum field theories and their equations of motion.
Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT
Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer
In this article we continue to explore the notion of Rota-Baxter algebras in the context of the Hopf algebraic approach to renormalization theory in perturbative quantum field theo…
The residues of quantum field theory - numbers we should know
Dirk Kreimer
We discuss in an introductory manner structural similarities between the polylogarithm and Green functions in quantum field theory.
Factorization in quantum field theory: an exercise in Hopf algebras and local singularities
Dirk Kreimer
I discuss the role of Hochschild cohomology in Quantum Field Theory with particular emphasis on Dyson--Schwinger equations.
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…
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…