Hopf algebras and Dyson-Schwinger equations
arXiv:1506.09119
Abstract
In these lectures I discuss Hopf algebras and Dyson-Schwinger equations. The lectures start with an introduction to Hopf algebras, followed by a review where Hopf algebras occur in particles physics. The final part of these lectures is devoted to the relation between Hopf algebras and Dyson-Schwinger equations.
32 pages, lectures given at the workshop "Dyson-Schwinger Equations in Modern Physics and Mathematics", Trento, September 2014, v3: version to be published
References in corpus (6)
- The elliptic dilogarithm for the sunset graph
- The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
- An Étude in non-linear Dyson--Schwinger Equations
- Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology
- Hopf algebras, from basics to applications to renormalization
- Renormalization, Hopf algebras and Mellin transforms