96 citations · 138 across the 3 of their papers we have counts for
3 papers
hep-th2005★ 14 cited
Matrix Representation of Renormalization in Perturbative Quantum Field Theory
K. Ebrahimi-Fard, L. Guo
We formulate the Hopf algebraic approach of Connes and Kreimer to renormalization in perturbative quantum field theory using triangular matrix representation. We give a Rota-Baxter…
hep-th2005★ 28 cited
Combinatorics of renormalization as matrix calculus
K. Ebrahimi-Fard, J. M. Gracia-Bondia, L. Guo +1
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 calcula…
math.RA2005★ 96 cited
Mixable Shuffles, Quasi-shuffles and Hopf Algebras
Kurusch Ebrahimi-Fard, Li Guo
The quasi-shuffle product and mixable shuffle product are both generalizations of the shuffle product and have both been studied quite extensively recently. We relate these two gen…