Connes-Kreimer-Epstein-Glaser Renormalization

Details Connes-Kreimer-Epstein-Glaser Renormalization Connes-Kreimer-Epstein-Glaser Renormalization

2000-06-15

arxiv.org/abs/hep-th/0006106v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 34 pages, 8 included figures, Fig.5 has been changed, some improvements and one added reference

Scientific paper

Causal perturbative renormalization within the recursive Epstein-Glaser scheme involves extending, at each order, time-ordered operator-valued distributions to coinciding points. This is achieved by a generalized Taylor subtraction on test functions, which is transposed to distributions. We show how the Epstein-Glaser recursive construction can, by means of a slight modification of the Hopf algebra of Feynman graphs, be recast in terms of the new Connes-Kreimer algebraic setup for renormalization. This is illustrated for $\phi^4_4$-theory.

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