Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-06-15
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.
Gracia-Bondia Jose M.
Lazzarini Serge
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