Combinatorics of renormalization as matrix calculus

Ebrahimi Fard, Kurusch; Gracia Bondía, José M.; Guo, Li; Várilly Boyle, Joseph C.

doi:https://doi.org/10.1016/j.physletb.2005.11.001

Combinatorics of renormalization as matrix calculus

Archivos

Echo.pdf (200,25 KB)

Fecha

2006

Authors

Ebrahimi Fard, Kurusch

Gracia Bondía, José M.

Guo, Li

Várilly Boyle, Joseph C.

DOI

https://doi.org/10.1016/j.physletb.2005.11.001

Resumen

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.