Factorization in quantum field theory: an exercise in Hopf algebras and local singularities
Dirk Kreimer
TL;DR
This paper explores the application of Hochschild cohomology to quantum field theory, focusing on Dyson--Schwinger equations and their relation to Hopf algebras and local singularities.
Contribution
It introduces a novel perspective on the algebraic structure of quantum field theory using Hochschild cohomology and Hopf algebras.
Findings
Hochschild cohomology provides insights into Dyson--Schwinger equations.
Hopf algebra structures relate to local singularities in QFT.
New algebraic methods for analyzing quantum field theoretical equations.
Abstract
I discuss the role of Hochschild cohomology in Quantum Field Theory with particular emphasis on Dyson--Schwinger equations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology