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

¹ Dipartimento di Fisica, Università di Roma La Sapienza - 00185 Rome, Italy, EU
² LPTMS, CNRS and Université Paris-Sud, UMR8626 - Bâtiment 100, 91405 Orsay, France, EU

^a michele.castellana@u-psud.ft

Received: 13 May 2011
Accepted: 30 June 2011

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 such approaches are non-predictive. On the contrary, we show that the real-space method presented here yields a precise prediction of the critical behavior and exponents of the model.