201 citations · 457 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT
Kurusch Ebrahimi-Fard, Li Guo, Dirk Kreimer
In this article we continue to explore the notion of Rota-Baxter algebras in the context of the Hopf algebraic approach to renormalization theory in perturbative quantum field theo…
On Products and Duality of Binary, Quadratic, Regular Operads
Kurusch Ebrahimi-Fard, Li Guo
Since its introduction by Loday in 1995 with motivation from algebraic K-theory, dendriform dialgebras have been studied quite extensively with connections to several areas in math…
Loday-type Algebras and the Rota-Baxter Relation
Kurusch Ebrahimi-Fard
In this brief note we would like to report on an observation concerning the relation between Rota-Baxter operators and Loday-type algebras, i.e. dendriform di- and trialgebras. It…