Hopf algebras and Dyson-Schwinger equations

2015/06/30 by Stefan Weinzierl, Weinzierl, Stefan
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/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.

Citations

• The elliptic dilogarithm for the sunset graph
• HARMONIC POLYLOGARITHMS

Related

• General Dyson-Schwinger equations and systems
• Hopf Algebras in General and in Combinatorial Physics: a practical introduction
• Dyson-Schwinger equations in the theory of computation
• A Primer on Functional Methods and the Schwinger-Dyson Equations
• Factorization in quantum field theory: an exercise in Hopf algebras and local singularities