2023/02/10 by Maria Chiara Angelini, Angelini, Maria Chiara
Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2302.05292
openalex publication_date 2023/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
While in the fully-connected limit the solution of the spin-glass model is known, with the existence of a complex transition on a critical line in the temperature-external field phase diagram, in finite dimensions we don't know if a transition is present or not and, if present, if its nature is the same as the one in infinite dimensions. This work contains a review of the real-space Renormalization Group methods that have been applied to Spin Glasses, highlighting both their point of strength and weakness in characterizing the finite dimensional behaviour of the model.