Random Field Ising model, dimensional reduction and supersymmetry.
I will present recent results for the study of the Random Field Ising model (RFIM) in various dimensions. A long standing problem for this model is to understand if the predicted dimensional reduction (RFIM in D = Ising Model in D-2) can exist or not in a finite dimension below the upper critical dimension. Using results of large scale numerical simulations, I will argue that dimensional reduction is valid at D=5 and that, for this dimension, supersymmetry is at play. Last, I will also comment on recent analytical results in D=4 which argued that there should also exist a fixed point with dimensional reduction but hidden by the presence of relevant interactions.
- 2022-11-09 15:00 - 16:00
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