Combinatorics of renormalization as matrix calculus

Details Combinatorics of renormalization as matrix calculus Combinatorics of renormalization as matrix calculus

2005-08-21

arxiv.org/abs/hep-th/0508154v2

Phys.Lett. B632 (2006) 552-558

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, revised version, typos corrected, to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2005.11.001

We give a simple presentation of the combinatorics of renormalization in
perturbative quantum field theory in terms of triangular matrices. The
prescription, that may be of calculational value, is derived from first
principles, to wit, the ``Birkhoff decomposition'' in the Hopf-algebraic
description of renormalization by Connes and Kreimer.

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