82 citations · 108 across the 4 of their papers we have counts for
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Notes on Feynman Integrals and Renormalization
Christoph Bergbauer
I review various aspects of Feynman integrals, regularization and renormalization. Following Bloch, I focus on a linear algebraic approach to the Feynman rules, and I try to bring…
New algebraic aspects of perturbative and non-perturbative Quantum Field Theory
Christoph Bergbauer, Dirk Kreimer
In this expository article we review recent advances in our understanding of the combinatorial and algebraic structure of perturbation theory in terms of Feynman graphs, and Dyson-…
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.
The Hopf algebra of rooted trees in Epstein-Glaser renormalization
Christoph Bergbauer, Dirk Kreimer
We show how the Hopf algebra of rooted trees encodes the combinatorics of Epstein-Glaser renormalization and coordinate space renormalization in general. In particular we prove tha…