A construction of the sine-Gordon model above 6pi

Date/heure
26 mars 2026
10:45 - 11:45

Lieu
Salle de conférences Nancy

Oratrice ou orateur
Sarah-Jean Meyer (Oxford)

Catégorie d'évènement
Séminaire Probabilités et Statistique


Résumé

I will present a construction of the Euclidean sine–Gordon quantum field theory using probabilistic methods. The approach formulates the model through a stochastic control problem and a weak forward–backward stochastic differential equation (FBSDE). The starting point is a detailed study of the perturbation theory associated with the sine–Gordon potential across the full subcritical regime.  For a portion of the subcritical regime extending above 6π, the construction can be made rigorous beyond perturbation theory using a stochastic control problem. I will explain the different regimes of the model and why we currently cannot construct the model in the full subcritical regime.