I will discuss the critical physics of a class of disordered (impure) quantum field theories, called random field models. It was conjectured by Parisi and Sourlas 40 years ago that these models have a critical point characterized by an emergent supersymmetry and an interesting 'dimensional reduction' property - that says they are related to a lower dimensional pure critical point (i.e. an ordinary conformal field theory). However, numerical simulations show that this conjecture works only under some specific conditions, not otherwise. I will explain these observations using the ideas of replica trick to set up a textbook-like renormalization flow analysis of random field models.
Zoom link: https://icts-res-in.zoom.us/j/88092766911?pwd=R3ZrVk9yeW96ZmQ4ZG9KRzVhenRKZz09
Meeting ID: 880 9276 6911
Passcode: 232322