Interplay between Stochastic Partial Differential Equations and Quantum Field Theory on Curved Backgrounds
De Claudio Dappiaggi
The timelike tube theorem and analytic vectors in QFT
De Alexander Strohmaier
De Gerald Dunne
Apparaît dans la collection : Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
In the Kreimer-Connes Hopf algebraic approach to renormalization, for certain QFTs the Dyson-Schwinger equations can be reduced to nonlinear differential equations. I describe methods based on Ecalle's theory of resurgent trans-series to extract non-perturbative information from these Dyson-Schwinger equations. Even in the absence of exact results, there exist efficient methods to uncover non-perturbative information numerically from perturbative data.