263 citations · 559 across the 30 of their papers we have counts for
21 papers · 1 filter
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…
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…
Higher Order Corrections to the Asymptotic Perturbative Solution of a Schwinger-Dyson Equation
Marc P. Bellon, Pierre J. Clavier
Building on our previous works on perturbative solutions to a Schwinger-Dyson for the massless Wess-Zumino model, we show how to compute 1/n corrections to its asymptotic behavior.…
Twisted N=1, d=4 supergravity and its symmetries
Laurent Baulieu, Marc Bellon, Valentin Reys
We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted sup…