Algèbre de Hopf des diagrammes de Feynman, renormalisation et factorisation de Wiener-Hopf
Considerations on some algebraic properties of Feynman integrals.
Feynman diagrams and the quantum stochastic calculus
We present quantum stochastic calculus in terms of diagrams taking weights in the algebra of observables of some quantum system. In particular, we note the absence of non-time-consecutive Goldstone diagrams. We review recent results in Markovian limits in these terms.
Feynman diagrams in algebraic combinatorics.
Free quasi-symmetric functions, product actions and quantum field theory of partitions.
Higher dimensional algebra. VII: Groupoidification.
Infrared catastrophe in a massless Feynman function
Integrals of Frullani type and the method of brackets
The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals. The present work uses this method to establish classical formulas due to Frullani which provide values of a specific family of integrals. Some generalizations are established.
On the effective action of dressed mean fields for super-Yang-Mills theory.
Translation-invariant noncommutative renormalization.
Two Hartree-Fock models for the vacuum polarization
We review recent results about the derivation and the analysis of two Hartree-Fock-type models for the polarization of vacuum. We pay particular attention to the variational construction of a self-consistent polarized vacuum, and to the physical agreement between our non-perturbative construction and the perturbative description provided by Quantum Electrodynamics.