263 citations · 559 across the 30 of their papers we have counts for
30 papers
Numerators in Parametric Representations of Feynman Diagrams
Marc P. Bellon
The parametric representation has been used since a long time for the evaluation of Feynman diagrams. As a dimension independent intermediate representation, it allows a clear desc…
Resurgent Analysis of Ward-Schwinger-Dyson Equations
Marc P. Bellon, Enrico I. Russo
Building on our recent derivation of the Ward-Schwinger-Dyson equations for the cubic interaction model, we present here the first steps of their resurgent analysis. In our derivat…
Ward-Schwinger-Dyson equations in Quantum Field Theory
Marc P. Bellon, Enrico I. Russo
We develop a system of equations for the propagators and three point functions of the quantum field theory in six dimensions. Inspired from a refinement by Ward on the Schwin…
Analyticity domain of a Quantum Field Theory and Accelero-summation
Marc P. Bellon, Pierre J. Clavier
From 't Hooft's argument, one expects that the analyticity domain of an asymptotically free quantum field theory is horned shaped. In the usual Borel summation, the function is obt…
Alien Calculus and non perturbative effects in Quantum Field Theory
Marc P. Bellon
In many domains of physics, methods are needed to deal with non-perturbative aspects. I want here to argue that a good approach is to work on the Borel transforms of the quantities…
Alien calculus and a Schwinger--Dyson equation: two-point function with a nonperturbative mass scale
Marc P. Bellon, Pierre J. Clavier
Starting from the Schwinger--Dyson equation and the renormalization group equation for the massless Wess--Zumino model, we compute the dominant nonperturbative contributions to the…