A functorial approach to differential characters.
Algèbre de Hopf des diagrammes de Feynman, renormalisation et factorisation de Wiener-Hopf
Asymptotic behaviour and the moduli space of doubly-periodic instantons
We study doubly-periodic instantons, i.e. instantons on the product of a 1-dimensional complex torus with a complex line , with quadratic curvature decay. We determine the asymptotic behaviour of these instantons, constructing new asymptotic invariants. We show that the underlying holomorphic bundle extends to . The converse statement is also true, namely a holomorphic bundle on which is flat on the torus at infinity, and satisfies a stability condition, comes from a doubly-periodic instanton....
Axiomatic quantum field theory in terms of operator product expansions: general framework, and perturbation theory via Hochschild cohomology.
Construction of coupling-resurgent amplitudes in quantum field theory
Construction of Non-Linear Local Quantum Processes.
Constructive field theory in zero dimension.
Field theory and KAM tori.
Gauge theories on deformed spaces.
Generalized nonanalytic expansions, -symmetry and large-order formulas for odd anharmonic oscillators.
Groupes de renormalisation pour deux algèbres de Hopf en produit semi-direct
Nous considérons deux algèbres de Hopf graduées connexes en interaction, l’une étant un comodule-cogèbre sur l’autre. Nous montrons comment définir l’analogue du groupe de renormalisation et de la fonction Bêta de Connes-Kreimer lorsque la bidérivation de graduation est remplacée par une bidérivation provenant d’un caractère infinitésimal de la deuxième algèbre de Hopf.
New affine coherent states based on elements of nonrenormalizable scalar field models.
On the effective action of dressed mean fields for super-Yang-Mills theory.
On the origin of the harmonic term in noncommutative quantum field theory.
One-loop calculations and detailed analysis of the localized non-commutative gauge model.
Renormalization of the quantum equation of motion for Yang--Mills fields in background formalism.
Representations of and the value of the fine structure constant.
Stochastic theories and deterministic differential equations.
The role of locality in perturbation theory
Translation-invariant noncommutative renormalization.