115 citations · 190 across the 9 of their papers we have counts for
9 papers
Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism
José F. Cariñena, Héctor Figueroa, Partha Guha
We consider Feynman-Dyson's proof of Maxwell's equations using the Jacobi identities on the velocity phase space. In this paper we generalize the Feynman-Dyson's scheme by incorpor…
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…
Singular Lagrangians in supermechanics
José F. Cariñena, Héctor Figueroa
The time evolution operator is introduced in the graded context and its main properties are discussed. In particular, the operator is used to analize the projectability of…
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…