English

Real-Space Renormalization group for spin glasses

Disordered Systems and Neural Networks 2023-02-13 v1 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.2302.05292,
  title  = {Real-Space Renormalization group for spin glasses},
  author = {Maria Chiara Angelini},
  journal= {arXiv preprint arXiv:2302.05292},
  year   = {2023}
}

Comments

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)

R2 v1 2026-06-28T08:37:07.202Z