TY - JOUR
T1 - Combinatorics of renormalization as matrix calculus
AU - Ebrahimi-Fard, Kurusch
AU - Gracia-Bondía, José M.
AU - Guo, Li
AU - Várilly, Joseph C.
N1 - Funding Information:
K.E.-F. is grateful to the Theory Department at the Physics Institute of Bonn University for support. J.M.G.-B. thanks MEC, Spain, for support through a ‘Ramón y Cajal’ contract. L.G. is supported in part by NSF grant DMS-0505643 and a grant from Rutgers University Research Council. J.C.V. acknowledges support from the Vicerrectoría de Investigación of the University of Costa Rica.
PY - 2006/1/19
Y1 - 2006/1/19
N2 - 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.
AB - 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.
KW - Birkhoff decomposition
KW - Dimensional regularization
KW - Hopf algebra of renormalization
KW - Matrix calculus
KW - Multiplicative renormalization
KW - Rota-Baxter operators
UR - http://www.scopus.com/inward/record.url?scp=29344432590&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=29344432590&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2005.11.001
DO - 10.1016/j.physletb.2005.11.001
M3 - Article
AN - SCOPUS:29344432590
VL - 632
SP - 552
EP - 558
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 4
ER -