Random Field Ising Model and Parisi-Sourlas Supersymmetry - Lecture 4

Explore the intricacies of the Random Field Ising Model and Parisi-Sourlas Supersymmetry in this advanced physics lecture. Delve into recent theoretical developments aimed at explaining the loss of Parisi-Sourlas SUSY and dimensional reduction properties in certain dimensions. Examine numerical evidence, phase diagrams, and critical exponents. Investigate the implications of Parisi-Sourlas supersymmetry, RG fixed point disappearance, and replica field theory. Analyze the Cardy field transform, replica symmetric interactions, and the classification of leaders. Study anomalous dimension computations and their results, providing evidence for SUSY fixed point instability. Gain insights into future research directions and open problems in this complex field of theoretical physics.