Feynman Diagrams and Lax Pair Equations
Mathematical Physics
2009-05-15 v1 High Energy Physics - Theory
math.MP
Abstract
We find a Lax pair equation corresponding to the Connes-Kreimer Birkhoff factorization of the character group of a Hopf algebra. This flow preserves the locality of counterterms. In particular, we obtain a flow for the character given by Feynman rules, and relate this flow to the Renormalization Group Flow.
Keywords
Cite
@article{arxiv.0905.2271,
title = {Feynman Diagrams and Lax Pair Equations},
author = {Gabriel Baditoiu and Steven Rosenberg},
journal= {arXiv preprint arXiv:0905.2271},
year = {2009}
}
Comments
Rewritten and expanded version of math-ph/0611014