We will report on a series of recent results by Guillarmou, Kupiainen, Rhodes and others on the probabilistic construction of the 2D Liouville quantum field theories. We will cover Segal’s axioms and their probabilistic implementation in the context of the free field. If time permits, we will discuss the kind of problems arising when constructing interacting field theories, as well as the link to conformal field theories and the Virasoro algebra.
[After Guillarmou, Kupiainen, Rhodes, Vargas, ...]
By Martin Hairer
By Pierre Pansu
By Isabelle Tristani
By Nikolay Tzvetkov
By Gérard Ben Arous
By Gérard Ben Arous
By Gérard Ben Arous
By Anne-Laure Dalibard
By Anne-Laure Dalibard
![[1231] Probabilistic interpretation of quantum field theories](/media/cache/video_light/uploads/video/SeminaireBourbaki.png)
