Random Field Ising model, dimensional reduction and supersymmetry.

2022-11-09 15:00 - 16:00
S4 - II piano St. 9
Sorbonne Universit?, Paris
Area di Ricerca
Transizioni di fase, Sistemi condensati e a molti corpi, Fisica Statistica e loro applicazioni

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.


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  • 2022-11-09 15:00 - 16:00

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