Feynman Diagrams and Lax Pair Equations
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We find a Lax pair equation corresponding to the Connes-Kreimer Birkhoff factorization of the character group of the Hopf algebra of Feynman diagrams. In particular, we obtain a flow for the character given by Feynman rules, and present a worked example.
Cite
@article{arxiv.math-ph/0611014,
title = {Feynman Diagrams and Lax Pair Equations},
author = {Gabriel Baditoiu and Steven Rosenberg},
journal= {arXiv preprint arXiv:math-ph/0611014},
year = {2007}
}