ConnesKreimerEpsteinGlaser Renormalization
Abstract
Causal perturbative renormalization within the recursive EpsteinGlaser scheme involves extending, at each order, timeordered operatorvalued distributions to coinciding points. This is achieved by a generalized Taylor subtraction on test functions, which is transposed to distributions. We show how the EpsteinGlaser recursive construction can, by means of a slight modification of the Hopf algebra of Feynman graphs, be recast in terms of the new ConnesKreimer algebraic setup for renormalization. This is illustrated for $\phi^4_4$theory.
 Publication:

arXiv eprints
 Pub Date:
 June 2000
 arXiv:
 arXiv:hepth/0006106
 Bibcode:
 2000hep.th....6106G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTeX, 34 pages, 8 included figures, Fig.5 has been changed, some improvements and one added reference