Workshop "Gauge theories and spin systems: Yang-Mills theory, continuous symmetry, and disorder"

The Ising magnetization field and the Gaussian free field

Jul 30, 2025, 9:20 AM

1h

Poppelsdorfer Allee 45, 1. EG, Lecture room (HIM)

Scheduled Talks

Speaker

Mr Marcin Lis (TU Vienna)

Description

I will define an (alternative to the FK-random cluster model) Edwards-Sokal representation of the Ising model using random currents. I will then discuss a scaling limit result which implies that the continuum Ising magnetization field and the Gaussian free field are naturally coupled. To the best of our knowledge, the existence of such a coupling was not predicted before. This extends the picture of bosonization of the planar Ising model.
Based on joint work in progress with Tomas Alcalde and Lorca Heeney.