CS03: Renormalization in probability and quantum field theory
date: 7/17/2025, time: 16:00-17:30, room: ICS 139
Organizer: Wei Wu (NYU Shanghai and New York University)
Chair: Wei Wu (NYU Shanghai and New York University)
Do Pfaffian correlations structures exist beyond the Ising model?
Diederik van Engelenburg (TU Wien)
A classical result of Groeneveld, Boel and Kasteleyn says that the boundary multi-point spin correlations of the Ising model on a planar graph are Pfaffians of the respective two-point correlations. But what about the converse: given a model with Pfaffian correlations, is it actually an Ising model? Joint work with Marcin Lis.
The Ising magnetization field and the Gaussian free field
Lorca Heeney (TU Wien)
I will discuss a natural coupling between the continuum Ising magnetization field and the Gaussian free field. To the best of our knowledge, the existence of such a coupling was not predicted before. This completes the picture of the bosonization of the planar Ising model. The result is based on a new Edwards-Sokal representation of the Ising model using random currents, alternative to the classical FK-random-cluster model. This is joint work in progress with Tomas Alcalde and Marcin Lis.