English

Real space Renormalization Group analysis of a non-mean field spin-glass

Disordered Systems and Neural Networks 2014-09-09 v2 Statistical Mechanics

Abstract

A real space Renormalization Group approach is presented for a non-mean field spin-glass. This approach has been conceived in the effort to develop an alternative method to the Renormalization Group approaches based on the replica method. Indeed, non-perturbative effects in the latter are quite generally out of control, in such a way that these approaches are non-predictive. On the contrary, we show that the real space method developed in this work yields precise predictions for the critical behavior and exponents of the model.

Keywords

Cite

@article{arxiv.1105.4955,
  title  = {Real space Renormalization Group analysis of a non-mean field spin-glass},
  author = {Michele Castellana},
  journal= {arXiv preprint arXiv:1105.4955},
  year   = {2014}
}