Runge-Kutta methods and renormalization

Details Runge-Kutta methods and renormalization Runge-Kutta methods and renormalization

1999-04-02

arxiv.org/abs/hep-th/9904014v1

Eur.Phys.J.C12:521-534,2000

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file with FeynMF package. 21 pages, no figure

Scientific paper

10.1007/s100529900235

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.

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