Real-Space Renormalization group for spin glasses
arXiv:2302.05292
Abstract
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.
To appear as a contribution to the edited volume "Spin Glass Theory and Far Beyond - Replica Symmetry Breaking after 40 Years", P. Charbonneau, E. Marinari, M. Mezard, G. Parisi, F. Ricci-Tersenghi, G. Sicuro and F. Zamponi (World Scientific)