Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-02
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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