115 citations · 190 across the 9 of their papers we have counts for
5 papers · 1 filter
Feynman problem in the noncommutative case
Jose F. Carinena, Hector Figueroa
In the context of the Feynman's derivation of electrodynamics, we show that noncommutativity allows other particle dynamics than the standard formalism of electrodynamics.
Combinatorial Hopf algebras in quantum field theory I
Hector Figueroa, Jose M. Gracia-Bondia
This manuscript stands at the interface between combinatorial Hopf algebra theory and renormalization theory. Its plan is as follows: Section 1 is the introduction, and contains as…
The uses of Connes and Kreimer's algebraic formulation of renormalization theory
Hector Figueroa, Jose M. Gracia-Bondia
We show how, modulo the distinction between the antipode and the "twisted" or "renormalized" antipode, Connes and Kreimer's algebraic paradigm trivializes the proofs of equivalence…
On the antipode of Kreimer's Hopf algebra
Hector Figueroa, Jose M. Gracia-Bondia
We give a new formula for the antipode of the algebra of rooted trees, directly in terms of the bialgebra structure. The equivalence, proved in this paper, among the three availabl…
A nonperturbative form of the spectral action principle in noncommutative geometry
H. Figueroa, J. M. Gracia-Bondia, F. Lizzi +1
Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle in noncommutative geometry, giving rise, through the spectral…