Connes-Kreimer-Epstein-Glaser Renormalization
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2000
- DOI:
- 10.48550/arXiv.hep-th/0006106
- arXiv:
- arXiv:hep-th/0006106
- Bibcode:
- 2000hep.th....6106G
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- LaTeX, 34 pages, 8 included figures, Fig.5 has been changed, some improvements and one added reference