28 citations · 35 across the 2 of their papers we have counts for
9 papers
Hopf algebras in dynamical systems theory
J. F. Carinena, K. Ebrahimi-Fard, H. Figueroa +1
The theory of exact and of approximate solutions for non-autonomous linear differential equations forms a wide field with strong ties to physics and applied problems. This paper is…
A Lie theoretic approach to renormalization
K. Ebrahimi-Fard, J. M. Gracia-Bondia, F. Patras
Motivated by recent work of Connes and Marcolli, based on the Connes-Kreimer approach to renormalization, we augment the latter by a combinatorial, Lie algebraic point of view. Our…
Hidden symmetry and Hopf algebra
Jose M. Gracia-Bondia
We spell two conundrums, one of physical and another of mathematical nature, and explain why one helps to elucidate the other
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…
Position-dependent noncommutative products: classical construction and field theory
V. Gayral, J. M. Gracia-Bondia, F. Ruiz Ruiz
We look in Euclidean for associative star products realizing the commutation relation , where the noncommutativity parameters depend on the pos…
Trouble with space-like noncommutative field theory
V. Gayral, J. M. Gracia-Bondia, F. Ruiz Ruiz
It is argued that the one-loop effective action for a space-like noncommutative scalar field theory does not exist. This indicates that such theories are not renormalizable already…