Runge-Kutta methods and renormalization
High Energy Physics - Theory
2011-09-13 v1
Abstract
A connection between the algebra of rooted trees used in renormalization theory and Runge-Kutta methods is pointed out. Butcher's group and B-series are shown to provide a suitable framework for renormalizing a toy model of field the ory, following Kreimer's approach. Finally B-series are used to solve a class of non-linear partial differential equations.
Cite
@article{arxiv.hep-th/9904014,
title = {Runge-Kutta methods and renormalization},
author = {Christian Brouder},
journal= {arXiv preprint arXiv:hep-th/9904014},
year = {2011}
}
Comments
LaTeX file with FeynMF package. 21 pages, no figure